NLD, NVLD

(2*1)2:1) = 2 : 2 = 1
(4*2)4:2) = 8 : 2 = 4
(8*4)8:4) = 32 : 2 = 16
1, 4, 16 - geometrical sequence with sum 21 and arithmetic mean 7.

(2+1)*(2:1) = 3*2 = 6
(4+2)*(4:2) = 6*2 = 12
(8+4)*(8:4) = 12*2 = 24
6, 12, 24 - geometrical sequence with sum 42 ((21-7)*(21:7)) and arithmetic mean 14 (21-7).

(2*1)*(2:1) = 2*2 = 4
(4*2)*(4:2) = 8*2 = 16
(8*4)*(8:4) = 32*2 = 64
4, 16, 64 - geometrical sequence with sum 84 ((21+7)*(21-7)) and arithmetic mean 28 (21+7).

21:(2+1) = 21:3 = 7
42:(4+2) = 42:6 = 7
84:(8+4) = 84:12 = 7
7, 7, 7 - geometrical or arithmetical sequence (constant) with sum 21 and arithmetic mean 7.

21:(2-1) = 21:1 = 21
42:(4-2) = 42:2 = 21
84:(8-4) = 84:4 = 21
21, 21, 21 - geometrical or arithmetical sequence (constant) with sum 63 (21*(21:7)) and arithmetic mean 21.

21*(2-1) = 21*1 = 21
42*(4-2) = 42*2 = 84
84*(8-4) = 84*4 = 336
21, 84, 336 - geometrical sequence with sum 441 (21*21) and arithmetic mean 147 (21*7).

(2+1)*(2-1) = 3*1 = 3
(4+2)*(4-2) = 6*2 = 12
(8+4)*(8-4) = 12*4 = 48
3, 12, 48 - geometrical sequence with sum 63 (21*(21:7)) and arithmetic mean 21.

I spend much of time thinking about these coincidences. They may cause "wasting of time" I may have thoughts like "Tesla prophesized about me when he said about 3, 6, 9", which looks crazy.

F21, F42.2, F84.5 - sums of two digits after Fs have the sum 21 - 2+1+4+2+8+4 = 21. Sum of digits after the dots in diagnostic codes is 7 - 2+5 = 7.

I had large coincidences because of 84 channel of satellite TV 18.12.2015. Two last digits in numbers representing day, month and year in that date (18.12.1015) are: 18, 12, 15. When we sort them ascendingly, we will receive 12, 15, 18. 12, 15, 18 are next three members of "arithmetic Tesla's sequence" (after 3, 6, 9)! What is more, the year 2015 is in 21st century and 21 is 7th member of that sequence! In addition, on 18.12.2015 I was after my 24th birthday and before my 25th birthday, so I was 24 years old. 24 is 8th member of the arithmetical progression started with numbers 3, 6, 9!

84 is the sum of 7 first terms of the "Tesla's arithmetical sequence" (3+6+9+12+15+18+21 = 84). Some (probably five) weeks before 18.12.2015, at the same day of week and at the similar time (hour), I heard about 3, 6, 9 in other episode of the same audition, that episode was about Tesla. During listening the audition at 18.12.2015, I was writing about my earlier coincidences, for example from 22.09.2014.

When we read numbers forming 33, 42, 51 sequence backwards, we will have another arithmetical sequence with common difference 9 - 15, 24, 33. Sum of numbers in that sequence (72) is divisible by 3, 6, 9 and (3+6+9), but is not divisible by 7 and 21. The difference between the largest and the smallest term of 15, 24, 33 sequence is 18 (33-15 = 18), as is in the case of the very coincident sequence 33, 42, 51 (51-33 = 18). Members of the sequence 15, 24, 33 are smaller than members of the sequence 33, 42, 51. Differences between members of these two arithmetical sequences are 18 (3+6+9):
33-15 = 18
42-24 = 18
51-33 = 18

I suppose that my coincidences (or at least part of them) may be the result of actions of unclean spirits. The 33, 42, 51 coincidence "has sources" in inventing evil meanings for the names of chemical elements. I regret it. It is bad that such stupid deeds occurred. Maybe satan gave me thoughts which later form the coincidences?

I may also suppose that my coincidences (or at least some of them) are proofs of existence of Divine Providence. I found that quote: A coincidence is a small miracle in which God chooses to remain anonymous (Irene Hannon).

The difference of sum of the 21, 42, 84 sequence and sum of the 33, 42, 51 sequence is 21:
(21+42+84)-(33+42+51) = 147-126 = 21
The difference of arithmetic mean of 21, 42, 84 sequence and arithmetic mean of 33, 42, 51 sequence is 7:
((21+42+84):3)-((33+42+51):3) = (147:3)-(126:3) = 49-42 = 7
The difference of the sum of digits in 21, 42, 84 sequence and the sum of digits in 33, 42, 51 sequence is 3 (21:7):
(2+1+4+2+8+4)-(3+3+4+2+5+1) = 21-18 = 3

The number 33 (the smallest number in 33, 42, 51 sequence) is composed of only one sort of digits: 3.
Arithmetic mean of the digits in the number 33 is 3:
(3+3):2 = 6:2 = 3
Sum of digits in the number 33 is 6:
3+3 = 6
Product of digits in the number 33 is 9:
3*3 = 9

Quotient of sum of numbers in 33, 42, 51 sequence and sum of digits forming that sequence is 7:
(33+42+51)3+3+4+2+5+1) = 126:18 = 7
Quotient of sum of numbers in 21, 42, 84 sequence and sum of digits forming that sequence is also 7:
(21+42+84)2+1+4+2+8+4) = 147:21 = 7
Sum of numbers in the sequence which is obtained by swapping digits in numbers 33, 42, 51 - 33, 24, 15 is 72. Sum of digits in 15, 24, 33 sequence is 18. Quotient of 72 and 18 is 4.
Sum of numbers in the sequence which is obtained by swapping digits in numbers 21, 42, 84 - 12, 24, 48 is 84. Sum of digits in 12, 24, 48 sequence is 21. Quotient of 84 and 21 is also 4.

Product of 7 and 4 is 28 - 21+7. Quotient of 28 and 4 is 7.

I started my first "going" to day hospital (oddział dzienny in Polish) at the day 4.4.2016 and finished it at the day 24.6.2016. Sum of the digits in this date is 21, quotient of the number representing the day and the number representing the month is 4 (24:6), quotient of the number representing the year and the number representing the day is 84 - 2016:24 = 84. By swapping digits in number representing the day (24) we will receive 42.

I finished my second going to the oddział dzienny (it was the same oddział dzienny) at 27.1.2017. From that date two 21.7s can be formed!

From 30.01.2017 to 3.02.2017 I was going "on trial" to another day hospital, but I was not przyjęty (taken, accepted, adopted).

From 27.4.2017 to 24.7.2017 I was going to third oddział dzienny.
The digits in the date of beginning and the date of ending are the same (two 2s, two 7s, one 0, one 1, one 4).
The sum of numbers representing day and month is 31 in both cases (27+4 = 31 = 24+7).
The sum of digits in numbers representing day and month is 13 in both cases (2+7+4 = 13 = 2+4+7).
31 is the result of swapping digits in number 13. Both 13 and 31 are prime numbers.
2017 is also a prime numbers.
Sums of digits in entire dates 27.4.2017 and 24.7.2017 is 23 (2+7+4+2+0+1+7 = 23 = 2+4+7+2+0+1+7).
23 is also a prime number. It is a prime number which sum of digits is also a prime number (2+3 = 5). 2 and 3 are prime numbers.
Sum of digits in numbers 13 and 31 is 4. Sum of numbers 31 and 13 is 44!

I am interesting how rare are cases when numbers in codes of health problems form geometrical or arithmetical sequence. What are chances that a person would receive at least three diagnoses which codes form such a sequence? 1:10 000 000? 1:100 000 000? 1:1000 000 000?

Maybe the autor of that topic (a woman, she appears to be from USA, so DSM could be used instead of ICD) was diagnosed with F21, F42 and F84 at the same time. It would be second case of it. I do not exclude the possibility that it could be the only person who was diagnosed with these diagnoses other than me. So the chance of being diagnosed with F21, F42 and F84 at the same time could be smaller than 1:3 500 000 000. Combination of pervasive developmental disorder, obsessive-compulsive disorder and schizotypal disorder may be ultra-rare.

21, 42, 84 is not a mere geometrical sequence, but "miraculous sequence" - has interesting properties described in my earlier posts in this topic.

F42.2 - mixed obsessive-compulsive disorder in ICD-10.
42:2 = 21
42*2 = 84

2015 - year in which I got F21, F42.2 and F84.5 diagnoses at the same time first time. The same digits as in number 2015 are in my birth weight written in my health certificate (2150 g).

Let's swap digits in numbers: 21, 42, 84 to make 12, 24, 48 - another geometrical sequence. Then subtract "second" numbers from first ones:
21 - 12 = 9;
42 - 24 = 18;
84 - 48 = 36;
9, 18, 36 - it is also a geometrical sequence.
Subtracting "third" numbers from second ones:
12 - 9 = 3;
24 - 18 = 6;
48 - 36 = 12;
"Fourth" numbers (3, 6, 12) also form a geometrical sequence.
Subtract "fourth" numbers from "third" ones:
9 - 3 = 6;
18 - 6 = 12;
36 - 12 = 24;
"Fifth" numbers also form a geometrical sequence: (6, 12, 24).
Subtract "fifth" numbers from "fourth" ones:
3 - 6 = -3
6 - 12 = -6
12 - 24 - -12
"Sixth" numbers also form a geometrical sequence: ((-3), (-6), (-12)).
Subtract "sixth" numbers from "fifth" ones:
6 - (-3) = 9;
12 - (-6) = 18;
24 - (-12) = 36;
"Seventh" numbers also form a geometrical sequence: (9, 18, 36).
We can make that iteration any number of times and we would always receive a geometrical sequence. There will be infinite(?) number of geometrical sequences produced that way.

At late spring 2015 I gave an Aspie birthday wishes on Polish Asperger's forum. The same day I saw inscription on a box for some vegetables in a shop. The inscription was quite large login of the Aspie who had birthday! In addition, I forgot to take meat from that shop and I drove back for it about 6-7 kilometers in one way.

2.4.2015 there was International Autism Day. That day I read in teletext about the visit of a president of some country in certain city in Poland.
The country from which the president was the country from which comes a login (nick) of an Aspijka who wrote an article about ASD which was presented at one of Internet sites at day 02.04.2015.
In addition, the description of the place in that Aspijka's profile was associated with the city to which the president of that foreign country arrived.

At the beginning of the ninth month of a year in 2015 an another Aspijka had a birthday.
In a public communication vehicle I saw images (or at least text with the name) of the city (it was quite far from Poland) in which that person studied.
The same day I saw surname of that Aspijka in the seat of a management (and the woman who had that surname probably had in addition two first letters of the name the same as that Aspijka).
Moreover, in later part of the same day an another woman gave me small card on which probably her name and surname were written. The name was the same as the name of Aspijka mentioned earlier. In addition, first letter of her surname could be associated with the login of that Aspijka on Polish AS forum.
Even earlier at the same day, I walked at the street which name was associated with the name of the city from which that Aspijka (at least probably) comes. When I started to ride in a bus, I also noticed an umbrella with the adverisement(?) of a product from that city.
Probably before midnight the same day I started to use toothpaste which was in packaging on which text in the language of the country in which that woman studied and which is quite far from Poland.

There are many interesting properties of arithmetical progression 33, 42, 51. It is coincident due to three main reasons:
1. Association with "Tesla's arithmetical progression" (3, 6, 9).
- arithmetical means of digits in numbers forming 33, 42, 51 are 3
- sums of digits in numbers forming 33, 42, 51 are 6
- common difference of 33, 42, 51 is 9
- sum of digits in 33, 42, 51 is 18 (3+6+9)
- there are 3 numbers in 33, 42, 51
- there are 6 digits in 33, 42, 51
2. Association with 21.7 and geometrical sequence 21, 42, 84.
- sum of numbers in 33, 42, 51 is 126, which is 7*(3+6+9) = 7*18; 126 is divisible by 7 and the result is 18 - sum of numbers 3, 6, 9
- 126 is divisible by 21 and the result is arithmetical mean of 3, 6, 9 - 6 (126/21 = 6)
- 42 is the middle member of arithmetical progression 33, 42, 51
- sum of two extreme terms of 33, 42, 51 is 84
- sum of 33, 42, 51 is (21+42+84) - 21 = 147 - 21 = 126
- arithmetical mean of 33, 42, 51 is ((21+42+84)/3) - 7) = (147/3) - 7 = 49 - 7 = 42
- sum of digits of 33, 42, 51 is 18, which is ((2+1+4+2+8+4) - (21/7)) = 21 - 3
3. Fact of the possibility of forming other arithmetical sequences from digits of 33, 42, 51.