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.

A378003 Decimal expansion of Pi*G - 7*zeta(3)/4, where G = A006752.

This page as a plain text file.
%I A378003 #16 Feb 12 2025 21:42:02
%S A378003 7,7,3,9,9,1,2,0,1,0,7,8,8,7,1,1,5,2,3,2,8,0,3,8,3,8,3,8,7,6,5,1,0,3,
%T A378003 1,6,2,7,6,1,2,8,3,8,8,4,5,6,8,0,6,0,3,2,6,2,5,7,2,0,5,8,0,3,0,6,6,4,
%U A378003 4,5,7,9,2,6,5,7,4,3,0,3,4,6,7,7,5,5,8,5,3,6,4,1,4,6,9,0,6,2,9,2
%N A378003 Decimal expansion of Pi*G - 7*zeta(3)/4, where G = A006752.
%D A378003 Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 1.7.2, p. 55.
%F A378003 Equals Sum_{n>=1} (-1)^(n+1)/n^2 Sum_{k=0..n-1} 1/(2*k + 1) (see Finch).
%e A378003 0.773991201078871152328038383876510316276128388...
%t A378003 RealDigits[Pi Catalan-7Zeta[3]/4,10,100][[1]]
%o A378003 (PARI) Pi*Catalan-7*zeta(3)/4 \\ _Charles R Greathouse IV_, Feb 12 2025
%Y A378003 Cf. A000796, A002117, A006752, A378021.
%K A378003 nonn,cons
%O A378003 0,1
%A A378003 _Stefano Spezia_, Nov 14 2024