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A286912 Array read by antidiagonals: T(m,n) = number of edge covers in the grid graph P_m X P_n. 9

%I #16 Jun 05 2017 02:09:19

%S 0,1,1,1,7,1,2,43,43,2,3,277,969,277,3,5,1777,23663,23663,1777,5,8,

%T 11407,571099,2180738,571099,11407,8,13,73219,13807469,198906617,

%U 198906617,13807469,73219,13,21,469981,333735575,18169793971,68534828391,18169793971,333735575,469981,21

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

%H Andrew Howroyd, <a href="/A286912/b286912.txt">Table of n, a(n) for n = 1..276</a>

%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/GridGraph.html">Grid Graph</a>

%e Table starts:

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

%e m\n| 1 2 3 4 5 6

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

%e 1 | 0 1 1 2 3 5 ...

%e 2 | 1 7 43 277 1777 11407 ...

%e 3 | 1 43 969 23663 571099 13807469 ...

%e 4 | 2 277 23663 2180738 198906617 18169793971 ...

%e 5 | 3 1777 571099 198906617 68534828391 23650967140325 ...

%e 6 | 5 11407 13807469 18169793971 23650967140325 30833670159649637 ...

%e ...

%Y Rows 1-3 are A000045(n-1), A286911, A288031.

%Y Main diagonal is A286913.

%Y Cf. A210662, A099390, A089934, A218354.

%K nonn,tabl

%O 1,5

%A _Andrew Howroyd_, May 15 2017

%E T(1,1) corrected by _Andrew Howroyd_, Jun 04 2017

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Last modified April 18 08:27 EDT 2024. Contains 371769 sequences. (Running on oeis4.)