A037008 Positions of the digit '0' in the decimal expansion of Pi, where positions 0, 1, 2, ... correspond to digits 3, 1, 4, ....

32, 50, 54, 65, 71, 77, 85, 97, 106, 116, 121, 128, 132, 146, 159, 164, 167, 176, 195, 207, 245, 248, 264, 270, 287, 291, 307, 308, 311, 327, 330, 340, 357, 360, 361, 366, 369, 375, 398, 403, 408, 421, 443, 451, 493, 513, 520, 523, 543, 545, 552, 557, 561

Offset

1,1

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000 (terms 1..369 from M. F. Hasler)

Eric Weisstein's World of Mathematics, Pi Digits.

Formula

a(n) = A014976(n) - 1. - M. F. Hasler, Jul 29 2024

Example

Pi = 3.14159 26535 89793 23846 26433 83279 5*0*288 4... (Position 32 refers to the 32nd digit after the decimal point.)

Mathematica

Flatten @ Position[ RealDigits[Pi - 3, 10, 500][[1]], 0] (* Robert G. Wilson v, Mar 07 2011 *)

Prog

(PARI) for(c=1, default(realprecision, 2011)-2, Pi\.1^c%10 || print1(c", ")) \\ M. F. Hasler, Oct 23 2011
(PARI) A037008_upto(N=999)={localprec(N+20); [i-1|i<-[1..#N=digits(Pi\10^-N)], !N[i]]} \\ M. F. Hasler, Jul 29 2024

Crossrefs

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

For another version see A014976(n) = a(n) + 1.

For digits 0 through 9 see: this sequence, A037000, A037001, A037002, A037003, A037004, A037005, A036974, A037006, A037007.

Sequence in context: A140172 A259765 A256521 * A316943 A099048 A176542

Adjacent sequences: A037005 A037006 A037007 * A037009 A037010 A037011

Keyword

base,nonn

Author

Nicolau C. Saldanha (nicolau(AT)mat.puc-rio.br)

Extensions

Name edited by M. F. Hasler, Jul 29 2024

Status

approved