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.

A346728 Decimal expansion of 11 * Pi^4 / (768 * sqrt(2)).

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%I A346728 #17 Dec 17 2024 09:36:54
%S A346728 9,8,6,5,4,2,8,6,0,6,9,3,9,7,0,5,0,3,9,0,1,5,3,4,4,9,0,6,1,6,7,2,6,9,
%T A346728 1,0,9,6,6,8,3,3,7,5,7,9,0,9,5,0,0,8,5,2,5,1,7,0,9,5,2,7,2,3,1,9,5,9,
%U A346728 4,5,4,9,5,6,2,3,9,4,2,9,7,0,7,2,0,7,1
%N A346728 Decimal expansion of 11 * Pi^4 / (768 * sqrt(2)).
%D A346728 L. B. W. Jolley, Summation of Series, Dover, 1961, Eqs. (327), (344).
%H A346728 R. J. Mathar, <a href="https://arxiv.org/abs/1008.2547">Table of Dirichlet L-series and prime zeta modulo functions for small moduli</a>, Section 2.2 at m=8, r=2, s=4.
%H A346728 Michael I. Shamos, <a href="https://citeseerx.ist.psu.edu/pdf/ae33a269baba5e8b1038e719fb3209e8a00abec5">Shamos's catalog of the real numbers</a> (2011).
%H A346728 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%F A346728 Equals 11 * Pi^4 / (2^8 * 3 * sqrt(2)).
%F A346728 Equals 1 + Sum_{k>=1} ( (-1)^k/(4*k-1)^4 + (-1)^k/(4*k+1) ).
%F A346728 Equals Sum_{k>=0} (-1)^floor((k+1)/2) / (2*k+1)^4.
%e A346728 0.98654286069397050390153449061672691096683375790950...
%t A346728 RealDigits[11*Pi^4/(768*Sqrt[2]), 10, 120][[1]] (* _Amiram Eldar_, Jun 13 2023 *)
%Y A346728 Cf. A328895, A346727, A346260, A346451.
%K A346728 nonn,cons
%O A346728 0,1
%A A346728 _Sean A. Irvine_, Jul 30 2021