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Row sums of triangle A179943.
2

%I #8 Apr 13 2021 17:29:33

%S 1,3,7,17,47,148,518,1977,8138,35879,168500,838944,4409957,24385913,

%T 141412615,857611641,5426144191,35739397738,244573978098,

%U 1735854397529,12757309001222,96941738970957,760649367654460,6155205917196408,51308394497243469,440110582561558831

%N Row sums of triangle A179943.

%H Andrew Howroyd, <a href="/A179944/b179944.txt">Table of n, a(n) for n = 0..500</a>

%H Robert G. Donnelly, Molly W. Dunkum, Sasha V. Malone, and Alexandra Nance, <a href="https://arxiv.org/abs/2012.14991">Symmetric Fibonaccian distributive lattices and representations of the special linear Lie algebras</a>, arXiv:2012.14991 [math.CO], 2020.

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

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

%o (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

%Y Row sums of A179943.

%Y Cf. A341576.

%K nonn

%O 0,2

%A _Gary W. Adamson_, Aug 07 2010

%E Terms a(12) and beyond from _Andrew Howroyd_, Apr 13 2021