A161741 Fifth right hand column of the RSEG2 triangle A161739.

-4, -14, 1561, 25809, 218769, 1284261, 5885671, 22482031, 74581507, 220977757, 596666070, 1490430630, 3484310310, 7693206894, 16160890914, 32492871698, 62838521438, 117376191548, 212507783895, 374035542815, 641676187295, 1075368660795, 1763954792145

Offset: 1

Author

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

Keywords

• easy
• sign

Links

• T. D. Noe, Table of n, a(n) for n = 1..1000

Crossrefs

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

Other right hand columns are A000292, A107963, A161740.

Formula

a(n) = (n+5)*(n+4)*(n+3)*(n+2)*(n+1)*(n)*(175*n^6+1365*n^5+2671*n^4-2805*n^3-14735*n^2-14445*n-2466)/5443200.

The denominator of a(n) (5443200) equals the product of the first four terms of A036283 (6*60*126*120). - Johannes W. Meijer, Oct 22 2009