A362576 Number of vertex cuts in the n X n rook complement graph.
0, 9, 114, 908, 5985, 35505, 196602, 1036992, 5277357, 26134385, 126677826, 603492444, 2834183937, 13150592889, 60391598610, 274863240992, 1241212143357, 5566202141193, 24807561785514, 109950785325900, 484883791129185, 2128652665933409, 9306262365861834
Offset: 1
Keywords
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)
Extensions
a(2) corrected and terms a(6) and beyond from Andrew Howroyd, Apr 30 2023