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 A247125 Number of tilings of a 5 X n rectangle using n pentominoes of shapes L, U, X. 7
 1, 0, 2, 1, 16, 10, 59, 60, 330, 397, 1520, 2218, 7875, 12820, 39250, 70045, 202168, 384866, 1038051, 2073580, 5385754, 11156701, 28015232, 59580154, 146333795, 317517636, 766142242, 1686735709, 4019319048, 8946988370, 21116854115, 47386013020, 111065223914 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..1000 Wikipedia, Pentomino Index entries for linear recurrences with constant coefficients, signature (0,2,1,12,6,2). FORMULA G.f.: -1/(2*x^6+6*x^5+12*x^4+x^3+2*x^2-1). EXAMPLE a(4) = 16: ._______.     ._______.     ._______. | ._____|     | ._____|     | ._| ._| |_| |_. |     |_| |_. |     | | | | | |_. ._| |     |_. ._| |     | | | | | | |_|___|     | |_| | |     |_| |_| | |_______| (2) |_____|_| (4) |___|___| (4) ._______.     ._______. | ._____|     | ._____| |_| ._. |     |_|_. | | | |_| |_|     | ._| | | |_____| |     | |___| | |_______| (2) |___|___| (4) . MAPLE a:= n-> (<<0|1|0|0|0|0>, <0|0|1|0|0|0>, <0|0|0|1|0|0>,           <0|0|0|0|1|0>, <0|0|0|0|0|1>, <2|6|12|1|2|0>>^n)[6, 6]: seq(a(n), n=0..40); CROSSREFS Cf. A174249, A233427, A234312, A247124, A247268. Sequence in context: A078074 A016447 A095850 * A290315 A113108 A162005 Adjacent sequences:  A247122 A247123 A247124 * A247126 A247127 A247128 KEYWORD nonn AUTHOR Alois P. Heinz, Nov 19 2014 STATUS approved

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Last modified October 23 07:20 EDT 2018. Contains 316520 sequences. (Running on oeis4.)