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

1,2

Links

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

Formula

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

Mathematica

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

Crossrefs

Equals A005260(n) - 1.

Sequence in context: A125645 A068518 A155664 * A367598 A076458 A299551

Adjacent sequences: A096189 A096190 A096191 * A096193 A096194 A096195

Keyword

nonn

Author

Gerald McGarvey, Jul 25 2004

Status

approved