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 A249762 Number of tilings of a 5 X n rectangle using n pentominoes of shapes F, I, L. 9
 1, 1, 3, 5, 13, 50, 133, 360, 875, 2254, 6336, 17331, 47199, 124476, 330344, 889454, 2400961, 6485476, 17392906, 46616158, 125153478, 336529923, 905611165, 2434088873, 6539233985, 17567977887, 47214493386, 126927551197, 341177175540, 916960655233 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..1000 Vaclav Kotesovec, G.f. and the recurrence (of order 315) Wikipedia, Pentomino FORMULA a(n) ~ c * d^n, where d = 2.6877447474867836174937272605197376719631593933016281800670782370745298422..., c = 0.3236150736074998563483897952085529328299218049725560430481595704054051228... (1/d is the root of the denominator, see g.f.). - Vaclav Kotesovec, May 19 2015 EXAMPLE a(4) = 13: ._______.     ._______.     ._______. | | | | |     | ._| ._|     | | ._| | | | | | |     | |_. | |     | | | | | | | | | |     | | |_| |     | | | | | | | | | |     |_| ._| |     | |_| | | |_|_|_|_| (1) |___|___| (2) |_|___|_| (2) ._______.     ._______.     ._______. | ._| | |     | ._| ._|     | ._|_. | | | | | |     | | | | |     | | | | | | | | | |     | | | | |     | | | | | |_| | | |     |_| |_| |     |_| | |_| |___|_|_| (4) |___|___| (2) |___|___| (2) . CROSSREFS Cf. A174249, A233427, A247443, A247680, A251617, A251737, A257866, A264765. Sequence in context: A113606 A209002 A106879 * A264812 A276827 A034375 Adjacent sequences:  A249759 A249760 A249761 * A249763 A249764 A249765 KEYWORD nonn AUTHOR Alois P. Heinz, Dec 03 2014 STATUS approved

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Last modified November 23 21:51 EST 2020. Contains 338603 sequences. (Running on oeis4.)