A180166 Row sums of triangle A180165.

1, 3, 7, 18, 51, 161, 560, 2123, 8691, 38142, 178407, 885041, 4636948, 25564727, 147848651, 894448186, 5646589363, 37115577265, 253517232120, 1796241061843, 13180234725987, 100009217354694, 783656713398383, 6333420109604593, 52732283687195340, 451831859926030943

Offset: 1

Author

Gary W. Adamson, Aug 14 2010

Keywords

• nonn

Examples

			a(5) = 151 = sum of row 5 terms of triangle A180165: (1 + 5 + 15 + 22 + 8).
		

Links

• Andrew Howroyd, Table of n, a(n) for n = 1..500

Crossrefs

Row sums of A180165.

Programs

PARI

seq(n)={Vec(sum(k=1, n, x^k*(1+x)/(1-k*x-k*x^2) + O(x*x^n)))} \\ Andrew Howroyd, Apr 13 2021

Formula

G.f.: Sum_{k>=1} x^k*(1 + x)/(1 - k*x - k*x^2). - Andrew Howroyd, Apr 13 2021

Extensions

a(8) and a(11) corrected and a(14) and beyond from Andrew Howroyd, Apr 13 2021