A158363 a(n) = binomial((n+2)^3,n+1).

8, 351, 41664, 9691375, 3739729608, 2164399496259, 1756185841659392, 1903537703715817455, 2658017764500203964000, 4648355438713836282503070, 9953464868983431366810477120, 25618533778009317925783195360506, 78045736116618270640181533583800432, 277778749083115620089821491876020200875

Offset

0,1

Links

Table of n, a(n) for n=0..13.

Formula

a(n) ~ n^(2*n+3/2) * exp(n+6-13/(2*n)) / sqrt(2*Pi). - Amiram Eldar, Sep 05 2025

Mathematica

Table[Binomial[(n+2)^3, n+1], {n, 0, 20}] (* Harvey P. Dale, May 01 2019 *)

Crossrefs

Sequence in context: A316739 A079485 A193504 * A221044 A221163 A385649

Adjacent sequences: A158360 A158361 A158362 * A158364 A158365 A158366

Keyword

nonn

Author

Karol A. Penson, Mar 17 2009

Status

approved