PI bases de numération

http://www.spiritart.org/Numbers/Pi/

base₈: 3.1103755242...


http://forums.futura-sciences.com/mathematiques-superieur/296214-pi-base-8-a.html

http://mathworld.wolfram.com/PiDigits.html

In the following, the word "digit" refers to decimal digit after the decimal point. The following table gives the starting positions for strings of  copies of the digit  in the first  digits of .

		Sloane	positions
0	1	A037008	32, 50, 54, 65, 71, 77, 85, 97, ...
0	2	A050201	307, 360, 601, 602, 855, 856, 973, ...
0	3	A050202	601, 855, 1598, 4255, 4793, 7832, ...
0	4	A050203	13390, 17534, 17535, 37322, ...
0	5	A083599	17534, 211058, 215287, 652115, ...
0	6	A083600	1699927, 2328783, 2609392, ...
0	7	A083601	3794572, 13310436, 28970114, ...
0	8		172330850, 184688988, ...

1	1	A037000	1, 3, 37, 40, 49, 68, 94, 95, ...
1	2	A050208	94, 153, 154, 174, 362, 395, 427, ...

2	1	A037001	6, 16, 21, 28, 33, 53, 63, 73, 76, ...
2	2	A050215	135, 185, 484, 535, 661, 687, 824, ...

3	1	A037002	9, 15, 17, 24, 25, 27, 43, 46, 64, ...
3	2	A050222	24, 215, 230, 282, 364, 401, 503, ...

4	1	A037003	2, 19, 23, 36, 57, 59, 60, 70, 87, ...
4	2	A050230	59, 125, 182, 201, 217, 453, 511, ...

5	1	A037004	4, 8, 10, 31, 48, 51, 61, 90, ...
5	2	A050238	130, 177, 178, 315, 809, 914, ...
5	3	A083620	177, 1232, 1450, 2359, 2674, 7245, ..

6	1	A037005	7, 20, 22, 41, 69, 72, 75, 82, ...
6	2	A050245	117, 211, 257, 276, 309, 377, 516, ...

7	1	A036974	13, 29, 39, 47, 56, 66, 96, 99, 120, ...
7	2	A050254	559, 621, 625, 633, 739, 742, 890, ...

8	1	A037006	11, 18, 26, 34, 35, 52, 67, 74, 78, ...
8	2	A050263	34, 204, 317, 322, 372, 472, 848, ...

9	1	A037007	5, 12, 14, 30, 38, 42, 44, 45, 55, ...
9	2	A050272	44, 79, 459, 705, 747, 762, 763, ...
9	3	A083642	762, 763, 764, 765, 2949, 7759, ...
9	4	A083643	762, 763, 764, 17988, 19437, 19446, ...
9	5	A083644	762, 763, 19446, 56988, 161862, ...
9	6	A083645	762, 193034, 1722776, 1722777, ...

The following table gives the first few positions at which a digit  occurs  times. The sequence 1, 135, 1698, 54525, 24466, 252499, 3346228, 46663520, ... (Sloane's A061073) given by the diagonal is known as the Earls sequence (Pickover 2002, p. 339). Note that the sequence 9999998 occurs at decimal 762 (which is sometimes called the Feynman point; Wells 1986, p. 51). This is the largest value of any seven digits in the first million decimals.

	Sloane	strings of 1, 2, ...s first occur at
0	A050279	32, 307, 601, 13390, 17534, 1699927, ...
1	A035117	1, 94, 153, 12700, 32788, 255945, ...
2	A050281	6, 135, 1735, 4902, 65260, 963024, ...
3	A050282	9, 24, 1698, 28467, 28467, 710100, ...
4	A050283	2, 59, 2707, 54525, 808650, 828499, ...
5	A050284	4, 130, 177, 24466, 24466, 244453, ...
6	A050285	7, 117, 2440, 21880, 48439, 252499, ...
7	A050286	13, 559, 1589, 1589, 162248, 399579, ...
8	A050287	11, 34, 4751, 4751, 213245, 222299, ...
9	A048940	5, 44, 762, 762, 762, 762, 1722776, ...

The beast number 666 appears in  at decimals 2440, 3151, 4000, 4435, 5403, 6840, (Sloane's A083625). The first occurrences of just  consecutive 6s are 7, 117, 2440, 21880, 48439, 252499, 8209165, 55616210, 45681781, ... (Sloane's A096760), while  (or more) consecutive 6s first occur at 7, 117, 2440, 21880, 48439, 252499, 8209165, 45681781, 45681781, ... (Sloane's A050285).


La somme des 144 premières décimales est égale à 666 ......
La somme des 20 premières décimales est égale à 100 ...
La somme des 200 premières décimales est égale à 900 ....


http://www.kristos.online.fr/pi3.14.htm