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A323534
a(n) = Product_{k=1..n} (binomial(k-1,6) + binomial(n-k,6)).
7
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2551486386077798400, 4356795681519916813516800, 8378295212644383454317143654400, 17729411415388061815791372479702630400, 47314452412112353657024080317791118400000000, 160496342476959706163534573940481304027441961369600
OFFSET
0,13
LINKS
FORMULA
a(n) ~ exp(-6*n + (15 - 4*sqrt(3))*Pi*(n-6)/6) * n^(6*n) / (6!)^n.
MAPLE
f:= proc(n) local k; mul(binomial(k-1, 6)+binomial(n-k, 6), k=1..n) end proc:
map(f, [$0..20]); # Robert Israel, Feb 01 2019
MATHEMATICA
Table[Product[Binomial[k-1, 6] + Binomial[n-k, 6], {k, 1, n}], {n, 0, 20}]
PROG
(PARI) a(n) = prod(k=1, n, binomial(k-1, 6) + binomial(n-k, 6)); \\ Daniel Suteu, Jan 17 2019
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Jan 17 2019
STATUS
approved