A179944 Row sums of triangle A179943.

1, 3, 7, 17, 47, 148, 518, 1977, 8138, 35879, 168500, 838944, 4409957, 24385913, 141412615, 857611641, 5426144191, 35739397738, 244573978098, 1735854397529, 12757309001222, 96941738970957, 760649367654460, 6155205917196408, 51308394497243469, 440110582561558831

Offset: 0

Author

Gary W. Adamson, Aug 07 2010

Keywords

• nonn

Examples

			a(4) = 47 since row 4 of triangle A179943 = (1, 5, 15, 21, 5).
		

Links

• Andrew Howroyd, Table of n, a(n) for n = 0..500
• Robert G. Donnelly, Molly W. Dunkum, Sasha V. Malone, and Alexandra Nance, Symmetric Fibonaccian distributive lattices and representations of the special linear Lie algebras, arXiv:2012.14991 [math.CO], 2020.

Crossrefs

Row sums of A179943.

Cf. A341576.

Programs

PARI

seq(n)={Vec(sum(k=0, n, x^k/(1-(k+2)*x+x^2) + O(x*x^n)))} \\ Andrew Howroyd, Apr 13 2021

Formula

G.f.: Sum_{k>=0} x^k/(1 - (k+2)*x + x^2). - Andrew Howroyd, Apr 13 2021

Extensions

Terms a(12) and beyond from Andrew Howroyd, Apr 13 2021