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 A086687 a(n) = binomial(n!,n). 6
 1, 1, 1, 20, 10626, 190578024, 189492294437160, 16321981448897949868560, 173117930575796585984663510371920, 300649979042426162195454856425990347600496000, 109109335363647915965076917082046041529603540914857910625920 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..30 FORMULA From Vaclav Kotesovec, Jul 02 2016: (Start) a(n) ~ (n!)^(n-1). a(n) ~ 2^((n-1)/2) * Pi^((n-1)/2) * n^((2*n+1)*(n-1)/2) / exp(n^2-n-1/12). (End) MATHEMATICA Table[Binomial[n!, n], {n, 0, 12}] (* Vladimir Joseph Stephan Orlovsky, Mar 03 2011*) PROG (PARI) for(i=1, 10, print1(", "binomial(i!, i))) CROSSREFS Cf. A036740. Main diagonal of A180397. Sequence in context: A109122 A135420 A045811 * A173790 A028667 A201507 Adjacent sequences:  A086684 A086685 A086686 * A086688 A086689 A086690 KEYWORD nonn AUTHOR Jon Perry, Jul 28 2003 EXTENSIONS a(0)=1 prepended by Alois P. Heinz, Nov 06 2016 STATUS approved

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