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 A208652 Product{i*C(n,i) : 1<=i<=floor[(n+1)/2]}. 4
 1, 2, 18, 48, 3000, 10800, 4321800, 21073920, 51849745920, 342921600000, 5062554438480000, 45444644517888000, 3960533401513405516800, 48272757747179554068480, 24547182197052103038450000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Used, along with A208653, to count palindromic paths in A208654. LINKS Table of n, a(n) for n=1..15. MATHEMATICA m[n_]:=Floor[(n+1)/2]; z=21; g[n_]:=Product[i*Binomial[n, i], {i, 1, m[n]}] Table[g[n], {n, 1, z}] (* A208652 *) Table[Gamma[1 + n]^(n/2)/BarnesG[1 + n]*((1 + (-1)^n)/2 + (1 - (-1)^n) * Sqrt[Gamma[1 + n]]/(2*Gamma[(1 + n)/2])), {n, 1, 15}] (* Vaclav Kotesovec, Apr 10 2024 *) CROSSREFS Cf. A208653, A208654. Sequence in context: A126909 A139268 A052681 * A223469 A048910 A356712 Adjacent sequences: A208649 A208650 A208651 * A208653 A208654 A208655 KEYWORD nonn,changed AUTHOR Clark Kimberling, Mar 02 2012 STATUS approved

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Last modified April 14 07:58 EDT 2024. Contains 371655 sequences. (Running on oeis4.)