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 A360202 #12 Feb 16 2025 08:34:04 %S A360202 1,3,3,6,12,6,10,33,33,10,15,78,138,78,15,21,171,533,533,171,21,28, %T A360202 360,2003,3568,2003,360,28,36,741,7453,23686,23686,7453,741,36,45, %U A360202 1506,27643,156614,277606,156614,27643,1506,45,55,3039,102432,1034875,3234373,3234373,1034875,102432,3039,55 %N A360202 Array read by antidiagonals: T(m,n) is the number of (non-null) induced trees in the grid graph P_m X P_n. %H A360202 Andrew Howroyd, <a href="/A360202/b360202.txt">Table of n, a(n) for n = 1..435</a> %H A360202 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/GridGraph.html">Grid Graph</a>. %H A360202 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/InducedSubgraph.html">Induced Subgraph</a>. %F A360202 T(m,n) = T(n,m). %e A360202 Array begins: %e A360202 ============================================================= %e A360202 m\n| 1 2 3 4 5 6 7 ... %e A360202 ---+--------------------------------------------------------- %e A360202 1 | 1 3 6 10 15 21 28 ... %e A360202 2 | 3 12 33 78 171 360 741 ... %e A360202 3 | 6 33 138 533 2003 7453 27643 ... %e A360202 4 | 10 78 533 3568 23686 156614 1034875 ... %e A360202 5 | 15 171 2003 23686 277606 3234373 37643572 ... %e A360202 6 | 21 360 7453 156614 3234373 66136452 1349087217 ... %e A360202 7 | 28 741 27643 1034875 37643572 1349087217 48136454388 ... %e A360202 ... %Y A360202 Main diagonal is A360203. %Y A360202 Rows 1..2 are A000217, 3*A125128. %Y A360202 Cf. A287151 (connected induced subgraphs), A116469 (spanning trees), A360196 (induced cycles), A360199 (induced paths), A360918 (maximum induced trees). %K A360202 nonn,tabl %O A360202 1,2 %A A360202 _Andrew Howroyd_, Feb 22 2023