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 A340535 Number of domino tilings (or dimer coverings) of the 2n X n grid. 1
 1, 1, 5, 41, 2245, 185921, 106912793, 90124167441, 540061286536921, 4652799879944138561, 289415868852204573601981, 25545661075321867247577262777, 16457725663617130715785831809325501, 14905470663149838513993965664256435411841, 99323759360556656337166635121447749135517599089 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..63 FORMULA a(n) = A187596(2n,n) = A187596(n,2n) = A187616(2n,n). a(n) = A099390(2n,n) = A099390(n,2n) for n >= 1. EXAMPLE a(2) = 5:    .___.   .___.   .___.   .___.   .___.    |___|   |___|   |___|   | | |   | | |    |___|   |___|   | | |   |_|_|   |_|_|    |___|   | | |   |_|_|   |___|   | | |    |___|   |_|_|   |___|   |___|   |_|_| . MAPLE b:= proc(m, n) option remember; local i, j, t, M;        M:= Matrix(n*m, shape=skewsymmetric);        for i to n do for j to m do t:= (i-1)*m+j;           if j b(2*n, n): seq(a(n), n=0..15); CROSSREFS Cf. A004003, A099390, A187596, A187616. Sequence in context: A318294 A093433 A065035 * A145008 A216610 A025173 Adjacent sequences:  A340532 A340533 A340534 * A340536 A340537 A340538 KEYWORD nonn AUTHOR Alois P. Heinz, Jan 10 2021 STATUS approved

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Last modified August 5 21:02 EDT 2021. Contains 346488 sequences. (Running on oeis4.)