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.
%I A286513 #32 Jul 18 2025 09:33:34 %S A286513 1,1,3,1,7,4,1,17,13,7,1,41,43,35,11,1,99,142,181,81,18,1,239,469,933, %T A286513 621,199,29,1,577,1549,4811,4741,2309,477,47,1,1393,5116,24807,36211, %U A286513 26660,8303,1155,76,1,3363,16897,127913,276561,307983,143697,30277,2785,123 %N A286513 Array read by antidiagonals: T(m,n) is the number of independent sets in the stacked prism graph C_m X P_n. %C A286513 Equivalently, the number of vertex covers in the stacked prism graph C_m X P_n. %H A286513 Liang Kai, <a href="/A286513/b286513.txt">Table of n, a(n) for n = 1..704</a> (terms up to a(435) from Andrew Howroyd) %H A286513 Kai Liang, <a href="https://arxiv.org/abs/2507.04007">Independent Set Enumeration and Estimation of Related Constants of Grid Graphs</a>, arXiv:2507.04007 [math.CO], 2025. See p. 13. %H A286513 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/IndependentVertexSet.html">Independent Vertex Set</a>. %H A286513 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/StackedPrismGraph.html">Stacked Prism Graph</a>. %H A286513 Wikipedia, <a href="https://en.wikipedia.org/wiki/Independent_set_(graph_theory)">Independent set</a>. %e A286513 Table starts: %e A286513 ============================================================= %e A286513 m\n| 1 2 3 4 5 6 7 %e A286513 ---|--------------------------------------------------------- %e A286513 1 | 1 1 1 1 1 1 1 ... %e A286513 2 | 3 7 17 41 99 239 577 ... %e A286513 3 | 4 13 43 142 469 1549 5116 ... %e A286513 4 | 7 35 181 933 4811 24807 127913 ... %e A286513 5 | 11 81 621 4741 36211 276561 2112241 ... %e A286513 6 | 18 199 2309 26660 307983 3557711 41097664 ... %e A286513 7 | 29 477 8303 143697 2488431 43089985 746156517 ... %e A286513 8 | 47 1155 30277 788453 20546803 535404487 13951571713 ... %e A286513 ... %Y A286513 Rows 3..8 are A003688(n+1), A051926, A181989, A181961, A182014, A182019. %Y A286513 Columns 1..4 are A000032, A051927, A050400, A050401. %Y A286513 Main diagonal is A212270. %Y A286513 Cf. A089934 (P_m X P_n), A027683, A286514. %K A286513 nonn,tabl %O A286513 1,3 %A A286513 _Andrew Howroyd_, May 10 2017