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

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, 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, 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

Offset

1,2

Links

Table of n, a(n) for n=1..100.

Formula

Equals A085565^2.

Equals Gamma(1/4)^4 / (32*Pi). - Vaclav Kotesovec, Nov 14 2024

Example

1.71879645450509320687252394495...

Mathematica

RealDigits[EllipticK[-1]^2, 10, 100][[1]]

Prog

(Magma)  C<i> := ComplexField(); [(Gamma(1/4)^2/(4*Sqrt(2*Pi(C))))^2];
(PARI) ellK(I)^2 \\ Charles R Greathouse IV, Feb 05 2025

Crossrefs

Cf. A085565.

Sequence in context: A153625 A011100 A244382 * A111293 A375192 A019661

Adjacent sequences: A378010 A378011 A378012 * A378014 A378015 A378016

Keyword

nonn,cons

Author

Vincenzo Librandi, Nov 14 2024

Status

approved