A382242 Decimal expansion of Gamma(1/4)^2/(8*sqrt(2*Pi)).

6, 5, 5, 5, 1, 4, 3, 8, 8, 5, 7, 3, 0, 2, 9, 9, 5, 2, 6, 1, 6, 2, 0, 9, 8, 9, 7, 4, 7, 2, 7, 7, 9, 8, 5, 3, 4, 2, 0, 6, 8, 8, 7, 3, 7, 8, 5, 7, 9, 0, 5, 7, 9, 0, 7, 0, 4, 2, 0, 5, 4, 2, 5, 9, 5, 0, 1, 9, 7, 6, 4, 6, 7, 6, 7, 6, 0, 3, 5, 6, 2, 5, 5, 7, 5, 7, 3, 8, 8, 3, 2, 4, 0, 3, 5, 7, 2, 7, 3, 3, 6, 1, 5, 3, 3, 9, 3, 8, 1, 6, 7, 9, 4, 5, 8

Offset: 0

Author

R. J. Mathar, Mar 19 2025

Keywords

• nonn
• cons

Examples

			0.6555143885730299526162098974727798534...
		

Links

• Leyda Almodovar, Victor H. Moll, Hadrian Quan, Fernando Roman, Eric Rowland, and Michole Washington, Infinite products arising in paperfolding, JIS 19 (2016), Article 16.5.1, eq. (72).

Crossrefs

Cf. A034937, A068466, A231863, A005843, A005408.

Programs

Maple

Digits := 120 ; GAMMA(1/4)^2/8/sqrt(2*Pi) ; evalf(%) ;

Mathematica

RealDigits[Gamma[1/4]^2/(8*Sqrt[2*Pi]), 10, 120][[1]] (* Amiram Eldar, Mar 20 2025 *)

Formula

Equals A068466^2 *A231863 /8.

Equals Product_{n>=1} (A005843(n)/A005408(n))^A034947(n).