A344056 - OEIS

A344056

a(n) = (2*n)! * hypergeom([3/2, 2, 1-n], [3, 2 - 2*n], 4) for n >= 1 and a(0) = 1.

1, 2, 72, 3960, 354816, 47952000, 9169459200, 2363720486400, 791505727488000, 334400903553024000, 174128130895380480000, 109627479651269099520000, 82122139255681984757760000, 72210265570358144925696000000, 73668698593180294904178278400000, 86324332785379145107697958912000000

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..15.

FORMULA

a(n) * Catalan(n - 1) = (2*n)! * A127632(n) for n >= 1.

MATHEMATICA

a[n_] := (2 n)! HypergeometricPFQ[{3/2, 2, 1 - n}, {3, 2 - 2n}, 4]; a[0] := 1;

Table[a[n], {n, 0, 15}]

CROSSREFS

Cf. A127632.