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

Author

Vincenzo Librandi, Nov 14 2024

Keywords

• nonn
• cons

Examples

			1.71879645450509320687252394495...
		

Crossrefs

Cf. A085565.

Programs

Magma

C := ComplexField(); [(Gamma(1/4)^2/(4*Sqrt(2*Pi(C))))^2];

Mathematica

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

PARI

ellK(I)^2 \\ Charles R Greathouse IV, Feb 05 2025

Formula

Equals A085565^2.

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