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