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.

A377558 Decimal expansion of Pi^3/64 + 7*zeta(3)/16.

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%I A377558 #12 Jul 14 2025 16:43:18
%S A377558 1,0,1,0,3,7,2,9,6,8,2,6,2,0,0,7,1,9,0,1,0,4,2,0,2,8,6,8,5,8,4,7,1,8,
%T A377558 6,7,0,9,9,4,4,5,1,6,3,6,7,4,0,9,2,3,0,6,8,5,0,5,1,2,7,2,1,3,3,3,4,0,
%U A377558 2,9,1,3,5,6,1,6,9,1,3,6,3,3,7,9,3,5,5,4,1,4,8,3,3,8,5,0,4,2,7,2
%N A377558 Decimal expansion of Pi^3/64 + 7*zeta(3)/16.
%D A377558 Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 1.6.3, p. 42.
%H A377558 Michael I. Shamos, <a href="http://euro.ecom.cmu.edu/people/faculty/mshamos/cat.pdf">A catalog of the real numbers</a>, (2007). See p. 40.
%F A377558 Equals Sum_{k>=0} 1/(4*k + 1)^3 (see Finch).
%F A377558 Equals -psi''(1/4)/128 = -(psi''(1/8) + psi''(5/8))/1024 (see Shamos).
%F A377558 Equals hypergeom([1/4, 1/4, 1/4, 1], [5/4, 5/4, 5/4], 1). - _R. J. Mathar_, Jul 14 2025
%e A377558 1.01037296826200719010420286858471867099445163674...
%t A377558 RealDigits[Pi^3/64+7Zeta[3]/16,10,100][[1]]
%Y A377558 Cf. A002117, A016813, A016815, A091925, A233091, A377557, A377559, A377560.
%K A377558 nonn,cons
%O A377558 1,5
%A A377558 _Stefano Spezia_, Nov 01 2024