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.

A093754 Decimal expansion of -Catalan + (Pi*arcsinh(1))/2 + HypergeometricPFQ[{1/2, 1, 1}, {3/2, 3/2}, 1/9]/6.

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%I A093754 #17 Feb 16 2025 08:32:53
%S A093754 6,3,9,5,1,0,3,5,1,8,7,0,3,1,1,0,0,1,9,6,2,6,9,3,0,8,5,4,2,7,3,2,3,6,
%T A093754 7,9,8,7,5,9,9,4,6,2,5,1,8,4,7,2,8,2,9,5,1,5,8,5,6,2,3,0,8,0,2,9,2,0,
%U A093754 5,1,6,6,3,5,6,2,5,0,3,0,5,1,8,4,8,9,7,8,9,5,4,7,7,4,2,7,3,1,6,0,3,5
%N A093754 Decimal expansion of -Catalan + (Pi*arcsinh(1))/2 + HypergeometricPFQ[{1/2, 1, 1}, {3/2, 3/2}, 1/9]/6.
%H A093754 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/RadialIntegrals.html">Radial Integrals</a>.
%F A093754 Equals Integral_{x=0..1, y=0..1} 1/(x^2 + y^2 + 1) dy dx.
%F A093754 Equals Integral_{x=0..1} arccot(sqrt(x^2+1))/sqrt(x^2+1) dx. - _Amiram Eldar_, Apr 12 2022
%e A093754 0.63951035187031100196269308542732367987599462518472...
%t A093754 RealDigits[-Catalan + (Pi*ArcSinh[1])/2 + HypergeometricPFQ[{1/2, 1, 1}, {3/2, 3/2}, 1/9]/6, 10, 100][[1]] (* _Amiram Eldar_, Apr 12 2022 *)
%Y A093754 Cf. A000796, A006752, A091648, A093753.
%K A093754 nonn,cons
%O A093754 0,1
%A A093754 _Eric W. Weisstein_, Apr 15 2004
%E A093754 Keyword:cons added by _R. J. Mathar_, Apr 01 2010