Pythagoras's constant has decimal expansion
(OEIS A000129), It was computed to decimal digits by A. J. Yee on Feb. 9, 2012.
The Earls sequence (starting position of copies of the digit ) for is given for , 2, ... by 2, 114, 1481, 3308, 72459, 226697, 969836, 119555442, 2971094743, ... (OEIS A224871).
-constant primes occur at 55, 97, 225, 11260, 11540, ... (OEIS A115377) decimal digits.
The starting positions of the first occurrence of , 1, 2, ... in the decimal expansion of (including the initial 1 and counting it as the first digit) are 14, 1, 5, 7, 2, 8, 9, 12, 19, ... (OEIS A229199).
Scanning the decimal expansion of until all -digit numbers have occurred, the last 1-, 2-, ... digit numbers appearing are 8, 81, 748, 8505, 30103, 489568, ... (OEIS A000000), which end at digits 19, 420, 8326, 94388, 1256460, 13043524, ... (OEIS A000000).
The digit sequence 9876543210 does not occur in the first digits of , but 0123456789 does, starting at positions 864106288, 6458611884, 7311432557, ... (OEIS A000000) (E. Weisstein, Jul. 22, 2013).
It is not known if is normal (Beyer et al. 1969, 1970ab), but the following table giving the counts of digits in the first terms shows that the decimal digits are very uniformly distributed up to at least .
OEIS | 10 | 100 | |||||||||
0 | A000000 | 0 | 10 | 108 | 952 | 9959 | 99814 | 999897 | 10002237 | 100010228 | 999996989 |
1 | A000000 | 2 | 7 | 98 | 1005 | 10106 | 98924 | 1000114 | 10000179 | 99998381 | 1000042849 |
2 | A000000 | 2 | 8 | 109 | 1004 | 9876 | 100436 | 1000208 | 9998091 | 99995645 | 999987069 |
3 | A000000 | 2 | 11 | 82 | 980 | 10058 | 100191 | 999674 | 10004178 | 99995415 | 999984900 |
4 | A000000 | 2 | 9 | 100 | 1016 | 10100 | 100024 | 1000126 | 10000054 | 100012725 | 1000008724 |
5 | A000000 | 1 | 7 | 104 | 1001 | 10002 | 100155 | 999358 | 9998344 | 100002636 | 999970045 |
6 | A000000 | 1 | 10 | 90 | 1032 | 9939 | 99886 | 1001246 | 10001665 | 100012683 | 1000007824 |
7 | A000000 | 0 | 18 | 104 | 964 | 10008 | 100008 | 999359 | 9998646 | 99980315 | 999986743 |
8 | A000000 | 0 | 12 | 113 | 1027 | 10007 | 100441 | 999452 | 9996550 | 99995120 | 1000025363 |
9 | A000000 | 0 | 8 | 92 | 1019 | 9945 | 100121 | 1000566 | 10000056 | 99996852 | 999989494 |