A216786 - OEIS

A216786

a(n) = Product_{k=1..n} (121 - 11/k).

1, 110, 12705, 1490720, 176277640, 20941783632, 2495562549480, 298041470195040, 35653210872081660, 4270462368900447720, 512028438031163681628, 61443412563739641795360, 7378329792029068652259480, 886534702703800402679177520, 106574136046464005550646840440

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OFFSET

0,2

COMMENTS

This sequence is generalizable: Product_{k=1..n} (q^2 - q/k) = (q^n/n!) * Product_{k=0..n-1} (q*k + q-1) = expansion of (1- x*q^2)^((1-q)/q).

LINKS

Table of n, a(n) for n=0..14.

MAPLE

seq(product(121-11/k, k=1.. n), n=0..20);

seq((11^n/n!)*product(11*k+10, k=0.. n-1), n=0..20);

A216786 := proc(n)

binomial(-10/11, n)*(-121)^n ;