cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A331095 Decimal expansion of 32/Pi^3.

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%I A331095 #27 Oct 02 2022 00:05:00
%S A331095 1,0,3,2,0,4,9,1,0,1,8,6,2,3,8,3,6,5,3,9,0,1,5,0,5,6,8,6,0,3,4,0,3,8,
%T A331095 0,3,4,9,7,8,0,2,6,7,5,6,7,1,9,2,9,8,4,5,5,5,0,6,6,1,5,1,1,0,8,9,8,6,
%U A331095 8,9,9,7,7,4,2,3,8,5,5,6,6,5,2,2,3,2,1,3,2,7,3,9,0,6,0,9,6
%N A331095 Decimal expansion of 32/Pi^3.
%C A331095 For odd prime numbers: Product_{odd primes p} 1/(1 - 1/p^2) = Pi^2/8 = (3/4)*zeta(2) = A111003.
%C A331095 For odd composite numbers: Product_{odd composite numbers c} 1/(1 - 1/c^2) = (81/80) * (225/224) * (441/440) * (625/624) * (729/728) * ... = 32/Pi^3, this constant.
%H A331095 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%F A331095 Equals A088538/A111003.
%e A331095 1.032049101862383653901505686034038...
%t A331095 RealDigits[32/Pi^3, 10, 100][[1]] (* _Amiram Eldar_, Jan 10 2020 *)
%o A331095 (PARI) p = 1.0; forstep(n = 3, 10^7, 2, if(!isprime(n), p*= (1 / (1 - 1 / n^2)))); print(p)
%o A331095 (PARI) 32/Pi^3
%Y A331095 Cf. A088538 (4/Pi), A111003 (Pi^2/8).
%K A331095 nonn,cons
%O A331095 1,3
%A A331095 _Dimitris Valianatos_, Jan 08 2020