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

Author

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

Keywords

• base
• nonn

Examples

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

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.

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.

Programs

Mathematica

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

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

Formula

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

Extensions

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