A329368 Partition the decimal expansion of Pi into non-overlapping strings of length 10: 3141592653, 5897932384,..; a(n) is the position of the strings where digits are different from each other.

7, 548, 3113, 11665, 11728, 14305, 15762, 19177, 23288, 28259, 35603, 37613, 40595, 40740, 41477, 52108, 54085, 54367, 62272, 74856, 75082, 75178, 82919, 83591, 92284, 94936, 103849, 105419, 105832, 108875, 111962, 115152, 117919, 118976, 121112, 124121, 128505

Offset

1,1

References

David Blatner, The Joy of Pi, Walker and Co., NY, 1997; page 91.

Links

Table of n, a(n) for n=1..37.

Eric Weisstein's World of Mathematics, Pi Digits

Example

a(1) = 7, because such a string first occur at the 7th string: 4592307816 (i.e., 61-70 digits of Pi).

Mathematica

q[i_]:=q[i]=Take[RealDigits[Pi, 10, 10i][[1]], -10];
a={}; Do[If[Length@Union@q[i]==10, AppendTo[a, i]], {i, 130000}]
a

Crossrefs

Cf. A000796, A014976, A050278, A096760, A101815, A101816, A107115.

Sequence in context: A300391 A126196 A182433 * A333208 A093169 A159029

Adjacent sequences: A329365 A329366 A329367 * A329369 A329370 A329371

Keyword

nonn,base

Author

XU Pingya, Apr 27 2020

Status

approved