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 A303111 #9 Feb 16 2025 08:33:54 %S A303111 0,1,1,3,9,3,4,25,25,4,5,81,161,81,5,9,289,961,961,289,9,16,961,6235, %T A303111 11236,6235,961,16,25,3249,39601,137641,137641,39601,3249,25,39,11025, %U A303111 251433,1677025,3270375,1677025,251433,11025,39 %N A303111 Array read by antidiagonals: T(m,n) = number of total dominating sets in the grid graph P_m X P_n. %C A303111 Equivalently, the number of n X m binary matrices with every element adjacent to some 0 horizontally or vertically. %H A303111 Andrew Howroyd, <a href="/A303111/b303111.txt">Table of n, a(n) for n = 1..435</a> %H A303111 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/GridGraph.html">Grid Graph</a> %H A303111 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/TotalDominatingSet.html">Total Dominating Set</a> %e A303111 Table begins: %e A303111 ======================================================================= %e A303111 m\n| 1 2 3 4 5 6 7 %e A303111 ---|------------------------------------------------------------------- %e A303111 1 | 0 1 3 4 5 9 16 ... %e A303111 2 | 1 9 25 81 289 961 3249 ... %e A303111 3 | 3 25 161 961 6235 39601 251433 ... %e A303111 4 | 4 81 961 11236 137641 1677025 20430400 ... %e A303111 5 | 5 289 6235 137641 3270375 76405081 1783064069 ... %e A303111 6 | 9 961 39601 1677025 76405081 3416753209 152598828321 ... %e A303111 7 | 16 3249 251433 20430400 1783064069 152598828321 13057656650476 ... %e A303111 ... %Y A303111 Rows 1..2 are A195971(n-1), A141583(n+1). %Y A303111 Main diagonal is A133793. %Y A303111 Cf. A218354 (dominating sets), A291872 (connected dominating sets). %Y A303111 Cf. A303114 (king graph), A303118 (minimal total dominating sets). %K A303111 nonn,tabl %O A303111 1,4 %A A303111 _Andrew Howroyd_, Apr 18 2018