A376913 Decimal expansion of Product_{k=1..8} Gamma(k/3).

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

Offset: 1

Author

Paolo Xausa, Oct 11 2024

Keywords

• nonn
• cons

Examples

			5.2386596251856584103292320999763662681359773992...
		

Links

• Eric Weisstein's World of Mathematics, Gamma Function.
• Index to sequences related to the Gamma function.

Crossrefs

Cf. A002194, A091925.

Other identities for Product_{k=1..m} Gamma(k/3): A073005 (m = 1), A186706 (m = 2 and m = 3), A376859 (m = 4), A376911 (m = 5 and m = 6), A376912 (m = 7).

Programs

Mathematica

First[RealDigits[640*Pi^3/(2187*Sqrt[3]), 10, 100]]

Formula

Equals 640*Pi^3/(2187*sqrt(3)) = 640*A091925/(3^7*A002194) (cf. eq. 90 in Weisstein link).