A158362 a(n) = binomial((n+1)^3,n+2).

56, 17550, 7624512, 4690625500, 3945414736440, 4376415781435698, 6208116950265950720, 10979605475032835080440, 23706860441577319154916000, 61404775345409777291865554700, 187991090980490068224949481365440, 671717955659404316014035382352467320, 2770857769348298462538364986825666737296

Offset: 1

Author

Karol A. Penson, Mar 17 2009

Keywords

• nonn
• changed

Comments

a(0) would be 0. - Michel Marcus, Aug 17 2013

Links

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

Programs

Mathematica

Table[(Binomial[(n + 1)^3, n + 2]), {n, 1, 20}] (* Vincenzo Librandi, Aug 17 2013 *)

PARI

a(n) = binomial((n+1)^3,n+2); \\ Michel Marcus, Aug 17 2013

Formula

a(n) ~ n^(2*n + 7/2) * exp(n + 3 - 2/n) / sqrt(2*Pi). - Amiram Eldar, Sep 04 2025