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

0,2

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.

Formula

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

Example

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

Prog

(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

Crossrefs

Row sums of A179943.

Cf. A341576.

Sequence in context: A320774 A151265 A351437 * A071985 A181419 A371866

Adjacent sequences: A179941 A179942 A179943 * A179945 A179946 A179947

Keyword

nonn

Author

Gary W. Adamson, Aug 07 2010

Extensions

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

Status

approved