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A339121 Number of cycles in the grid graph P_9 X P_n. 2

%I #11 Nov 25 2020 00:50:40

%S 36,4040,542295,51139577,4237530095,345142437669,28251882697663,

%T 2318527339461265,190273063549680295,15609156135669687673,

%U 1280305089790914190288,105011610206669201362004,8613171107463963712000106,706463610718638922253288622,57945052730138702492774189915

%N Number of cycles in the grid graph P_9 X P_n.

%H Seiichi Manyama, <a href="/A339121/b339121.txt">Table of n, a(n) for n = 2..150</a>

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

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

%o (Python)

%o # Using graphillion

%o from graphillion import GraphSet

%o import graphillion.tutorial as tl

%o def A(n, k):

%o universe = tl.grid(n - 1, k - 1)

%o GraphSet.set_universe(universe)

%o cycles = GraphSet.cycles()

%o return cycles.len()

%o def A339121(n):

%o return A(n, 9)

%o print([A339121(n) for n in range(2, 15)])

%Y Cf. A140517, A231829.

%K nonn

%O 2,1

%A _Seiichi Manyama_, Nov 24 2020

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Last modified August 18 23:41 EDT 2024. Contains 375284 sequences. (Running on oeis4.)