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.

A370000 Decimal expansion of Sum_{k>=0} (-1)^k/(3*k+2)^3.

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%I A370000 #16 Feb 09 2024 03:24:28
%S A370000 1,1,8,4,3,8,7,7,8,4,2,5,0,5,7,5,2,9,6,2,5,6,1,6,8,6,1,9,4,3,0,2,5,4,
%T A370000 3,8,7,3,2,8,8,7,9,8,2,9,7,8,3,5,6,6,8,2,4,8,0,7,9,6,8,5,0,3,4,4,7,5,
%U A370000 5,7,1,7,5,8,4,1,0,2,8,2,0,4,2,9,0,0,4,5,9,6,2,1,1,9
%N A370000 Decimal expansion of Sum_{k>=0} (-1)^k/(3*k+2)^3.
%H A370000 R. W. Gosper, <a href="https://dspace.mit.edu/handle/1721.1/6088">Acceleration of Series</a>, Artificial Intelligence (1974) # 304.
%F A370000 Equals Sum_{n>=0} (-1)^n/A016791(n).
%F A370000 Equals A226735 - 13*zeta(3)/18 = 5*Pi^3/(2*3^(9/2)) - 13*zeta(3)/36.
%e A370000 1/8 - 1/125 + 1/512 - 1/1331 + ... = 0.118438778425057529625616861943025438732887982...
%p A370000 5*Pi^3/2/3^(9/2)-13*Zeta(3)/36 ; evalf(%) ;
%t A370000 RealDigits[5*Pi^3/(2*3^(9/2)) - 13*Zeta[3]/36, 10, 120][[1]] (* _Amiram Eldar_, Feb 09 2024 *)
%o A370000 (PARI) sumalt(k=0, (-1)^k/(3*k+2)^3) \\ _Michel Marcus_, Feb 07 2024
%Y A370000 Cf. A226735, A016791.
%K A370000 nonn,cons
%O A370000 0,3
%A A370000 _R. J. Mathar_, Feb 07 2024