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 A255268 a(n) = Product_{k=1..n} k!^n. 7
 1, 4, 1728, 6879707136, 49302469038676377600000, 237376313799769806328950291431424000000000000, 487929826521303413461947888047619993419888153407795494912000000000000000000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Eric Weisstein's World of Mathematics, Barnes G-Function Eric Weisstein's World of Mathematics, Superfactorial FORMULA a(n) = A000178(n)^n. a(n) ~ exp(1/12 + n/12 - n^2 - 3*n^3/4) * n^(5*n/12 + n^2 + n^3/2) * 2^(n/2 + n^2/2) * Pi^(n/2 + n^2/2) / A^n, where A = 1.28242712910062263687534256886979... is the Glaisher-Kinkelin constant (see A074962). MATHEMATICA Table[Product[k!, {k, 1, n}]^n, {n, 1, 10}] Table[BarnesG[n+2]^n, {n, 1, 10}] CROSSREFS Cf. A000178, A055462, A074962, A255269. Sequence in context: A278794 A141090 A307580 * A079402 A198975 A160300 Adjacent sequences:  A255265 A255266 A255267 * A255269 A255270 A255271 KEYWORD nonn AUTHOR Vaclav Kotesovec, Feb 20 2015 STATUS approved

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Last modified December 5 09:45 EST 2021. Contains 349543 sequences. (Running on oeis4.)