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 A300358 #27 Feb 16 2025 08:33:53 %S A300358 1,2,2,2,2,2,2,2,2,2,3,4,3,4,3,4,4,4,4,4,4,4,4,5,6,5,4,4,4,6,6,8,8,6, %T A300358 6,4,5,6,7,8,9,8,7,6,5,6,6,8,10,10,10,10,8,6,6,6,8,9,12,12,12,12,12,9, %U A300358 8,6,6,8,10,12,14,14,14,14,12,10,8,6,7,8,11,14,15,16,15,16,15,14,11,8,7 %N A300358 Array read by antidiagonals: T(m,n) = total domination number of the grid graph P_m X P_n. %H A300358 Andrew Howroyd, <a href="/A300358/b300358.txt">Table of n, a(n) for n = 1..435</a> (first 29 antidiagonals) %H A300358 Alexandre Talon, <a href="https://arxiv.org/abs/2002.11615">Intensive use of computing resources for dominations in grids and other combinatorial problems</a>, arXiv:2002.11615 [cs.DM], 2020. See Sec. 2.3.2. %H A300358 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/GridGraph.html">Grid Graph</a> %H A300358 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/TotalDominationNumber.html">Total Domination Number</a> %e A300358 Table begins: %e A300358 ======================================================= %e A300358 m\n| 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 %e A300358 ---+--------------------------------------------------- %e A300358 1 | 1 2 2 2 3 4 4 4 5 6 6 6 7 8 8 8 ... %e A300358 2 | 2 2 2 4 4 4 6 6 6 8 8 8 10 10 10 12 ... %e A300358 3 | 2 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 ... %e A300358 4 | 2 4 4 6 8 8 10 12 12 14 14 16 18 18 20 20 ... %e A300358 5 | 3 4 5 8 9 10 12 14 15 16 18 20 21 22 24 26 ... %e A300358 6 | 4 4 6 8 10 12 14 16 18 20 20 24 24 26 28 30 ... %e A300358 7 | 4 6 7 10 12 14 15 18 20 22 24 26 27 30 32 34 ... %e A300358 8 | 4 6 8 12 14 16 18 20 22 24 28 30 32 34 36 38 ... %e A300358 9 | 5 6 9 12 15 18 20 22 25 28 30 32 35 38 40 42 ... %e A300358 ... %Y A300358 Rows 1..2 are A004524(n+2), A302402. %Y A300358 Main diagonal is A302488. %Y A300358 Cf. A303111, A303118, A303293. %K A300358 nonn,tabl %O A300358 1,2 %A A300358 _Andrew Howroyd_, Apr 20 2018