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Positions of the digit '0' in the decimal expansion of Pi, where positions 0, 1, 2, ... correspond to digits 3, 1, 4, ....
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%I #55 Jul 30 2024 15:21:42

%S 32,50,54,65,71,77,85,97,106,116,121,128,132,146,159,164,167,176,195,

%T 207,245,248,264,270,287,291,307,308,311,327,330,340,357,360,361,366,

%U 369,375,398,403,408,421,443,451,493,513,520,523,543,545,552,557,561

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

%H Amiram Eldar, <a href="/A037008/b037008.txt">Table of n, a(n) for n = 1..10000</a> (terms 1..369 from M. F. Hasler)

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PiDigits.html">Pi Digits.</a>

%F a(n) = A014976(n) - 1. - _M. F. Hasler_, Jul 29 2024

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

%t Flatten @ Position[ RealDigits[Pi - 3, 10, 500][[1]], 0] (* _Robert G. Wilson v_, Mar 07 2011 *)

%o (PARI) for(c=1,default(realprecision,2011)-2,Pi\.1^c%10 || print1(c",")) \\ _M. F. Hasler_, Oct 23 2011

%o (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

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

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

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

%K base,nonn

%O 1,1

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

%E Name edited by _M. F. Hasler_, Jul 29 2024