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.

A300709 Decimal expansion of Pi^6/960.

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%I A300709 #26 Jun 26 2025 01:22:57
%S A300709 1,0,0,1,4,4,7,0,7,6,6,4,0,9,4,2,1,2,1,9,0,6,4,7,8,5,8,7,1,3,7,9,3,7,
%T A300709 3,9,4,6,5,3,3,5,1,5,9,1,7,5,1,0,9,0,2,2,4,9,3,8,6,2,1,0,2,8,6,2,9,2,
%U A300709 6,4,4,9,2,5,4,4,1,1,4,8,0,5,7,2,8,3,5,5,6,3,4,5,3,3,2,4,5,5,5,8,4,9,0
%N A300709 Decimal expansion of Pi^6/960.
%C A300709 Also the sum of the series Sum_{n>=0} (1/(2n+1)^6), whose value is obtained from zeta(6) given by L. Euler in 1735: Sum_{n>=0}(2n+1)^(-s) = (1-2^(-s))*zeta(s).
%H A300709 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%F A300709 Equals A092732/960. - _Omar E. Pol_, Mar 11 2018
%F A300709 From _Artur Jasinski_, Jun 24 2025: (Start)
%F A300709 Equals DirichletL(2,1,6).
%F A300709 Equals DirichletL(4,1,6).
%F A300709 Equals DirichletL(8,1,6).
%F A300709 Equals DirichletL(16,1,6). (End)
%e A300709 1.0014470766409421219064785871379373946533515917510902...
%p A300709 evalf((1/960)*Pi^6, 120)
%t A300709 RealDigits[Pi^6/960, 10, 120][[1]]
%o A300709 (PARI) default(realprecision, 120); Pi^6/960
%o A300709 (MATLAB) format long; pi^6/960
%Y A300709 Cf. A092732, A111003, A300707, A300710.
%K A300709 nonn,cons
%O A300709 1,5
%A A300709 _Iaroslav V. Blagouchine_, Mar 11 2018