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 A303114 #7 Feb 16 2025 08:33:54 %S A303114 0,1,1,3,11,3,4,47,47,4,5,165,353,165,5,9,625,2545,2545,625,9,16,2435, %T A303114 19651,35458,19651,2435,16,25,9367,150719,538977,538977,150719,9367, %U A303114 25,39,35901,1149593,8213971,16322279,8213971,1149593,35901,39 %N A303114 Array read by antidiagonals: T(m,n) = number of total dominating sets in the n X m king graph. %H A303114 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/KingGraph.html">King Graph</a> %H A303114 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/TotalDominatingSet.html">Total Dominating Set</a> %e A303114 Table begins: %e A303114 ============================================================================ %e A303114 m\n| 1 2 3 4 5 6 7 %e A303114 ---|------------------------------------------------------------------------ %e A303114 1 | 0 1 3 4 5 9 16 ... %e A303114 2 | 1 11 47 165 625 2435 9367 ... %e A303114 3 | 3 47 353 2545 19651 150719 1149593 ... %e A303114 4 | 4 165 2545 35458 538977 8213971 124153394 ... %e A303114 5 | 5 625 19651 538977 16322279 496873689 14980146565 ... %e A303114 6 | 9 2435 150719 8213971 496873689 30158547693 1812834702647 ... %e A303114 7 | 16 9367 1149593 124153394 14980146565 1812834702647 217221533288240 ... %e A303114 ... %Y A303114 Rows 1..2 are A195971(n-1), A219079. %Y A303114 Main diagonal is A303116. %Y A303114 Cf. A218663 (dominating sets), A291873 (connected dominating sets). %Y A303114 Cf. A303111 (grid graph). %K A303114 nonn,tabl %O A303114 1,4 %A A303114 _Andrew Howroyd_, Apr 18 2018