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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
 0, 1, 1, 1, 7, 1, 2, 43, 43, 2, 3, 277, 969, 277, 3, 5, 1777, 23663, 23663, 1777, 5, 8, 11407, 571099, 2180738, 571099, 11407, 8, 13, 73219, 13807469, 198906617, 198906617, 13807469, 73219, 13, 21, 469981, 333735575, 18169793971, 68534828391, 18169793971, 333735575, 469981, 21 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 LINKS Andrew Howroyd, Table of n, a(n) for n = 1..276 Eric Weisstein's World of Mathematics, Edge Cover Eric Weisstein's World of Mathematics, Grid Graph EXAMPLE Table starts: ====================================================================== m\n| 1 2 3 4 5 6 ---|------------------------------------------------------------------ 1 | 0 1 1 2 3 5 ... 2 | 1 7 43 277 1777 11407 ... 3 | 1 43 969 23663 571099 13807469 ... 4 | 2 277 23663 2180738 198906617 18169793971 ... 5 | 3 1777 571099 198906617 68534828391 23650967140325 ... 6 | 5 11407 13807469 18169793971 23650967140325 30833670159649637 ... ... CROSSREFS Rows 1-3 are A000045(n-1), A286911, A288031. Main diagonal is A286913. Cf. A210662, A099390, A089934, A218354. Sequence in context: A317733 A258335 A266985 * A239807 A130875 A370112 Adjacent sequences: A286909 A286910 A286911 * A286913 A286914 A286915 KEYWORD nonn,tabl AUTHOR Andrew Howroyd, May 15 2017 EXTENSIONS T(1,1) corrected by Andrew Howroyd, Jun 04 2017 STATUS approved

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Last modified April 16 17:08 EDT 2024. Contains 371749 sequences. (Running on oeis4.)