A014976 Successive locations of zeros in decimal expansion of Pi (where locations 1, 2, 3, ... correspond to digits 3, 1, 4, ...).

33, 51, 55, 66, 72, 78, 86, 98, 107, 117, 122, 129, 133, 147, 160, 165, 168, 177, 196, 208, 246, 249, 265, 271, 288, 292, 308, 309, 312, 328, 331, 341, 358, 361, 362, 367, 370, 376, 399, 404, 409, 422, 444, 452, 494, 514, 521, 524, 544, 546, 553, 558, 562, 597, 602, 603, 604, 619, 639, 658

Offset: 1

Author

Bagirath R. Krishnamachari (bagi(AT)callisto.miel.mot.com)

Keywords

• nonn
• base

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..1000
• Index entries for sequences related to the number Pi

Crossrefs

Cf. A000796 (decimal expansion (or digits) of Pi).

Cf. A053745 - A053753 (similar for digits 1 through 9).

Cf. A037008 for a variant with all values decreased by 1.

See A088563 for primes in this sequence.

Programs

Maple

f := proc(n) if pi[n]=0 then n fi; end;[seq(f(i),i=1..2000)]; # where pi is an array with the digits of Pi. - Simon Plouffe [Corrected by Neven Juric, Jul 08 2008]

Mathematica

Flatten[ Position[ RealDigits[Pi, 10, 660] [[1]], 0]] (* Robert G. Wilson v, Mar 19 2004 *)

PARI

A014976_upto(N=999)={localprec(N+20); select(d->!d, digits(Pi\10^-N), 1)} \\ Returns a "Vecsmall": use Vec(...) if needed, or alternatively: {...; [i|i<-[1..#N=digits(Pi\10^-N)], !N[i]]}. - M. F. Hasler, Jul 28 2024

Formula

a(n) = A037008(n) + 1. - Georg Fischer, May 31 2021

Extensions

More terms from Scott Lindhurst (ScottL(AT)alumni.princeton.edu)