A161740 Fourth right hand column of the RSEG2 triangle A161739.

0, 30, 425, 3008, 14572, 55060, 174130, 481360, 1197196, 2733874, 5817955, 11668800, 22250280, 40616264, 71373956, 121292960, 200092040, 321439910, 504211037, 774042368, 1165242100, 1723107100, 2506711350, 3592233840

Offset: 1

Author

Johannes W. Meijer & Nico Baken (n.h.g.baken(AT)tudelft.nl), Jun 18 2009

Keywords

• easy
• nonn

Crossrefs

Equals fourth right hand column of A161739 (RSEG2 triangle).

Other right hand columns are A000292, A107963, A161741.

Formula

a(n) = (n+4)*(n+3)*(n+2)*(n+1)*(n)*(n-1)*(35*n^3+189*n^2+325*n+204)/45360

The denominator of a(n) (45360) equals the product of the first three terms of A036283 (6*60*126). - Johannes W. Meijer, Oct 22 2009