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 A381475 #6 Mar 19 2025 18:42:37 %S A381475 1,1,1,1,2,1,2,2,2,2,3,4,3,4,3,4,5,4,4,5,4,5,6,5,7,5,6,5,6,7,6,9,9,6, %T A381475 7,6,7,8,7,10,11,10,7,8,7,8,9,8,12,12,12,12,8,9,8,9,10,9,14,15,14,15, %U A381475 14,9,10,9,10,11,10,15,17,16,16,17,15,10,11,10 %N A381475 Array read by antidiagonals: T(m,n) is the connected domination number of the grid graph P_m X P_n. %H A381475 Andrew Howroyd, <a href="/A381475/b381475.txt">Table of n, a(n) for n = 1..435</a> (first 29 antidiagonals) %H A381475 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/ConnectedDominationNumber.html">Connected Domination Number</a>. %H A381475 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/GridGraph.html">Grid Graph</a>. %F A381475 T(m,n) = T(n,m). %e A381475 Table begins: %e A381475 ========================================================= %e A381475 m\n | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 ... %e A381475 ----+---------------------------------------------------- %e A381475 1 | 1 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 ... %e A381475 2 | 1 2 2 4 5 6 7 8 9 10 11 12 13 14 15 16 ... %e A381475 3 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 ... %e A381475 4 | 2 4 4 7 9 10 12 14 15 17 19 20 22 24 25 27 ... %e A381475 5 | 3 5 5 9 11 12 15 17 18 21 23 24 27 29 30 33 ... %e A381475 6 | 4 6 6 10 12 14 16 18 20 22 24 26 28 30 32 34 ... %e A381475 7 | 5 7 7 12 15 16 20 23 24 28 31 32 36 39 40 44 ... %e A381475 8 | 6 8 8 14 17 18 23 26 27 32 35 36 41 44 45 50 ... %e A381475 9 | 7 9 9 15 18 20 24 27 30 33 36 39 42 45 48 51 ... %e A381475 ... %Y A381475 Main diagonal is A369692. %Y A381475 Cf. A300358, A350823, A381474. %K A381475 nonn,tabl %O A381475 1,5 %A A381475 _Andrew Howroyd_, Mar 19 2025