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.

A378013 Decimal expansion of A^2, where A is the lemniscate constant (A085565).

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%I A378013 #15 Feb 05 2025 00:16:04
%S A378013 1,7,1,8,7,9,6,4,5,4,5,0,5,0,9,3,2,0,6,8,7,2,5,2,3,9,4,4,9,5,2,6,3,9,
%T A378013 2,9,9,4,7,5,2,1,4,1,1,2,9,5,4,7,9,0,2,2,4,0,6,8,6,2,1,9,7,2,8,8,4,0,
%U A378013 0,0,8,1,9,9,0,0,2,7,8,9,1,3,1,4,5,0,7,9,1,8,9,4,0,5,3,2,5,6,9,2
%N A378013 Decimal expansion of A^2, where A is the lemniscate constant (A085565).
%F A378013 Equals A085565^2.
%F A378013 Equals Gamma(1/4)^4 / (32*Pi). - _Vaclav Kotesovec_, Nov 14 2024
%e A378013 1.71879645450509320687252394495...
%t A378013 RealDigits[EllipticK[-1]^2,10,100][[1]]
%o A378013 (Magma)  C<i> := ComplexField(); [(Gamma(1/4)^2/(4*Sqrt(2*Pi(C))))^2];
%o A378013 (PARI) ellK(I)^2 \\ _Charles R Greathouse IV_, Feb 05 2025
%Y A378013 Cf. A085565.
%K A378013 nonn,cons
%O A378013 1,2
%A A378013 _Vincenzo Librandi_, Nov 14 2024