cp's OEIS Frontend

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.

A291872 Array read by antidiagonals: T(m,n) = number of connected dominating sets in the grid graph P_m X P_n.

This page as a plain text file.
%I A291872 #6 Feb 16 2025 08:33:51
%S A291872 1,3,3,4,9,4,4,24,24,4,4,56,129,56,4,4,136,613,613,136,4,4,328,2997,
%T A291872 5617,2997,328,4,4,792,14713,52955,52955,14713,792,4,4,1912,72169,
%U A291872 502521,964755,502521,72169,1912,4,4,4616,353853,4763717,17625829,17625829,4763717,353853,4616,4
%N A291872 Array read by antidiagonals: T(m,n) = number of connected dominating sets in the grid graph P_m X P_n.
%H A291872 Andrew Howroyd, <a href="/A291872/b291872.txt">Table of n, a(n) for n = 1..435</a>
%H A291872 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/ConnectedDominatingSet.html">Connected Dominating Set</a>
%H A291872 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/GridGraph.html">Grid Graph</a>
%e A291872 Array begins:
%e A291872 ===============================================================
%e A291872 m\n| 1   2     3       4         5           6             7
%e A291872 ---|-----------------------------------------------------------
%e A291872 1  | 1   3     4       4         4           4             4...
%e A291872 2  | 3   9    24      56       136         328           792...
%e A291872 3  | 4  24   129     613      2997       14713         72169...
%e A291872 4  | 4  56   613    5617     52955      502521       4763717...
%e A291872 5  | 4 136  2997   52955    964755    17625829     321381919...
%e A291872 6  | 4 328 14713  502521  17625829   617429805   21550989109...
%e A291872 7  | 4 792 72169 4763717 321381919 21550989109 1436456861467...
%e A291872 ...
%Y A291872 Row 2 is A291706.
%Y A291872 Main diagonal is A287690.
%Y A291872 Cf. A218354 (dominating), A287151 (connected).
%Y A291872 Cf. A291873 (king).
%K A291872 nonn,tabl
%O A291872 1,2
%A A291872 _Andrew Howroyd_, Sep 04 2017