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A086687
a(n) = binomial(n!,n).
7
1, 1, 1, 20, 10626, 190578024, 189492294437160, 16321981448897949868560, 173117930575796585984663510371920, 300649979042426162195454856425990347600496000, 109109335363647915965076917082046041529603540914857910625920
OFFSET
0,4
LINKS
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
KEYWORD
nonn
AUTHOR
Jon Perry, Jul 28 2003
EXTENSIONS
a(0)=1 prepended by Alois P. Heinz, Nov 06 2016
STATUS
approved