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 A226369 Number of tilings of a 5 X n rectangle using integer-sided square tiles of area > 1. 2
 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 4, 4, 0, 0, 1, 6, 12, 8, 0, 1, 8, 24, 32, 16, 1, 10, 40, 80, 80, 33, 12, 60, 160, 240, 193, 78, 84, 280, 560, 673, 464, 240, 448, 1120, 1793, 1810, 1168, 928, 2016, 4033, 5396, 4788, 3264, 3872, 8065, 13462, 15580, 12840, 10400 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,7 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,1,2). FORMULA G.f.: 1/(1-x^5-2*x^6). a(n) = a(n-5)+2*a(n-6) for n>5, a(0) = a(5) = 1, a(1) = a(2) = a(3) = a(4) = 0. EXAMPLE a(6) = 2: ._._._._._._.    ._._._._._._. |     |     |    |   |   |   | |     |     |    |___|___|___| |_____|_____|    |     |     | |   |   |   |    |     |     | |___|___|___|    |_____|_____| MAPLE a:= n-> (Matrix(6, (i, j)-> `if`(i+1=j, 1,     `if`(i=6, [2, 1, 0\$4][j], 0)))^n. <<1, [0\$4][], 1>>)[1, 1]: seq(a(n), n=0..70); CROSSREFS Column k=5 of A226206. Sequence in context: A191906 A187080 A301342 * A320751 A263764 A325668 Adjacent sequences:  A226366 A226367 A226368 * A226370 A226371 A226372 KEYWORD nonn,easy AUTHOR Alois P. Heinz, Jun 05 2013 STATUS approved

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Last modified August 12 00:34 EDT 2022. Contains 356067 sequences. (Running on oeis4.)