A096192 a(n) = Sum_{k=1..n} C(n,k)^4 where C(n,k) is binomial(n,k).

1, 17, 163, 1809, 21251, 263843, 3395015, 44916497, 607041379, 8345319267, 116335834055, 1640651321763, 23365271704711, 335556407724359, 4854133484555663, 70666388112940817, 1034529673001901731

Offset: 1

Author

Gerald McGarvey, Jul 25 2004

Keywords

• nonn

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..200

Crossrefs

Equals A005260(n) - 1.

Programs

Mathematica

Table[Sum[Binomial[n, k-1]^4, {k, 0, n}], {n, 1, 25}] (* Vincenzo Librandi, May 03 2013 *)

Formula

a(n) ~ 2^(4*n + 1/2) / (Pi*n)^(3/2). - Vaclav Kotesovec, Nov 27 2017