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.

A359992 Number of connected spanning subgraphs in the n X n grid graph.

This page as a plain text file.
%I A359992 #13 Feb 16 2025 08:34:04
%S A359992 1,5,431,555195,10286937043,2692324030864335,9852929684161379901975,
%T A359992 501079193080617800221189943995,
%U A359992 352690403996687922642590703716802346343,3426297680513758764075706102615040790667832304415,458508006189588425325361635000918336126387961057365005349963
%N A359992 Number of connected spanning subgraphs in the n X n grid graph.
%C A359992 For n > 1, a(n) is the number of connected edge covers in the n X n grid graph.
%H A359992 Andrew Howroyd, <a href="/A359992/b359992.txt">Table of n, a(n) for n = 1..15</a>
%H A359992 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/GridGraph.html">Grid Graph</a>
%F A359992 a(n) = A053765(n) - A359989(n).
%e A359992 The a(2) = 5 connected spanning subgraphs are the following subgraphs and their rotations and reflections.
%e A359992    o---o   o---o
%e A359992    |       |   |
%e A359992    o---o   o---o
%Y A359992 Main diagonal of A359993.
%Y A359992 Cf. A007341, A053765, A080691, A286913, A359989.
%K A359992 nonn
%O A359992 1,2
%A A359992 _Andrew Howroyd_, Jan 28 2023