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A362576 Number of vertex cuts in the n X n rook complement graph. 1
0, 9, 114, 908, 5985, 35505, 196602, 1036992, 5277357, 26134385, 126677826, 603492444, 2834183937, 13150592889, 60391598610, 274863240992, 1241212143357, 5566202141193, 24807561785514, 109950785325900, 484883791129185, 2128652665933409, 9306262365861834 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
Eric Weisstein's World of Mathematics, Rook Complement Graph
Eric Weisstein's World of Mathematics, Vertex Cut
FORMULA
From Andrew Howroyd, Apr 30 2023: (Start)
a(n) = 2*n*(2^n-n-1) + n^2*(2^(n-1)-1)^2 + binomial(n,2)^2.
a(n) = 2^(n^2) - 1 - A291593(n). (End)
CROSSREFS
Sequence in context: A342296 A243676 A012116 * A356240 A157551 A157570
KEYWORD
nonn
AUTHOR
Eric W. Weisstein, Apr 25 2023
EXTENSIONS
a(2) corrected and terms a(6) and beyond from Andrew Howroyd, Apr 30 2023
STATUS
approved

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Last modified May 27 15:55 EDT 2024. Contains 372880 sequences. (Running on oeis4.)