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Array read by antidiagonals: T(m,n) = number of edge covers in the m X n king graph.
2

%I #4 Dec 27 2017 03:12:17

%S 0,1,1,1,41,1,2,1201,1201,2,3,36281,559647,36281,3,5,1094401,

%T 268870883,268870883,1094401,5,8,33014921,129026029705,2058903341490,

%U 129026029705,33014921,8,13,995960401,61919807546309,15748005991643285,15748005991643285,61919807546309,995960401,13

%N Array read by antidiagonals: T(m,n) = number of edge covers in the m X n king graph.

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

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

%e Array begins:

%e ========================================================================

%e m\n| 1 2 3 4 5

%e ---|--------------------------------------------------------------------

%e 1 | 0 1 1 2 3 ...

%e 2 | 1 41 1201 36281 1094401 ...

%e 3 | 1 1201 559647 268870883 129026029705 ...

%e 4 | 2 36281 268870883 2058903341490 15748005991643285 ...

%e 5 | 3 1094401 129026029705 15748005991643285 1919822469194024912961 ...

%e ...

%Y Main diagonal is A297056.

%Y Cf. A286912.

%K nonn,tabl

%O 1,5

%A _Andrew Howroyd_, Dec 26 2017

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Last modified September 22 02:40 EDT 2024. Contains 376090 sequences. (Running on oeis4.)