A376913 - OEIS

%I #10 Oct 13 2024 10:55:44

%S 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,

%T 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,

%U 5,5,8,0,4,6,4,1,9,1,5,1,8,2,3,1,9,1,6,8,2,1

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

%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/GammaFunction.html">Gamma Function</a>.

%H <a href="/index/Ga#gamma_function">Index to sequences related to the Gamma function</a>.

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

%e 5.2386596251856584103292320999763662681359773992...

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

%Y Cf. A002194, A091925.

%Y 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).

%K nonn,cons

%O 1,1

%A _Paolo Xausa_, Oct 11 2024