cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A332735 Numbers of graphs which are double triangle descendants of K_5 with four more vertices than triangles.

This page as a plain text file.
%I A332735 #21 May 30 2022 13:01:16
%S A332735 1,6,15,34,61,106,162,246,342,477,626,825,1039,1314,1606,1970,2352,
%T A332735 2817,3302,3881,4481,5186,5914,6758,7626,8621,9642,10801,11987,13322,
%U A332735 14686,16210,17764,19489,21246,23185,25157,27322,29522,31926,34366,37021,39714,42633,45591,48786
%N A332735 Numbers of graphs which are double triangle descendants of K_5 with four more vertices than triangles.
%C A332735 See Laradji, Mishna, Yeats paper for definition of double triangle descendants.
%H A332735 Mohamed Laradji, Marni Mishna, and Karen Yeats, <a href="https://arxiv.org/abs/1904.06923">Some results on double triangle descendants of K_5</a>, arXiv:1904.06923 [math.CO], 2019.
%H A332735 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (2,0,-2,2,-2,0,2,-1).
%F A332735 G.f.: x^9*(1 + 4*x + 3*x^2 + 6*x^3 + 3*x^4 + 4*x^5 + 4*x^7 - 3*x^8 + 3*x^9 - x^10 + x^11)/((1 - x)^4*(1 + x)^2*(1 + x^2)). See Laradji, Mishna, Yeats paper for proof.
%Y A332735 Double triangle descendants of K_5 with three more vertices than triangles is A007980.  Double triangle descendants of K_5 with two more vertices than triangles is A008619. Double triangle descendants of K_5 with one more vertex than triangles is A000007.  Double triangle descendants of K_5 with the same number of vertices as triangles is A000012.
%K A332735 nonn,easy
%O A332735 9,2
%A A332735 _Karen A. Yeats_, Feb 21 2020