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A368800 Lower independence number of the n X n torus grid graph C_n square C_n. 0

%I #18 Jan 24 2024 08:00:11

%S 3,4,5,8,13,16,18,20,27,32,39,42,45,56,65,72,76,80,95

%N Lower independence number of the n X n torus grid graph C_n square C_n.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/LowerIndependenceNumber.html">Lower Independence Number</a>.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/TorusGridGraph.html">Torus Grid Graph</a>.

%t (* conjectured to hold for larger n *)

%t Table[Piecewise[{

%t {n^2/5, Mod[n, 5] == 0},

%t {(n + 4) (n - 2)/5, Mod[n, 5] == 1},

%t {(n + 8) (2 n^2 + 17 n + 108)/375, Mod[n, 5] == 2},

%t {n (n + 2)/5, Mod[n, 5] == 3},

%t {n (n + 1)/5, Mod[n, 5] == 4}

%t }], {n, 3, 21}]

%K nonn,more,hard

%O 3,1

%A _Eric W. Weisstein_, Jan 06 2024

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Last modified August 23 08:01 EDT 2024. Contains 375375 sequences. (Running on oeis4.)