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A219974 Number of tilings of a 10 X n rectangle using straight (3 X 1) trominoes and 2 X 2 tiles. 1
1, 0, 7, 58, 286, 3068, 29876, 214485, 1910822, 17671945, 141365332, 1225043571, 10871708273, 90688536786, 781019641877, 6800784990468, 57716277595775, 496096480109463, 4284929501626939, 36621478929328140, 314572431365390797, 2707867101849205129 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..21.

EXAMPLE

a(2) = 7, because there are 7 tilings of a 10 X 2 rectangle using straight (3 X 1) trominoes and 2 X 2 tiles:

.___.   .___.   .___.   .___.   .___.   .___.   .___.

|   |   |   |   |   |   | | |   |   |   | | |   | | |

|___|   |___|   |___|   | | |   |___|   | | |   | | |

|   |   |   |   | | |   |_|_|   | | |   |_|_|   |_|_|

|___|   |___|   | | |   |   |   | | |   |   |   | | |

|   |   | | |   |_|_|   |___|   |_|_|   |___|   | | |

|___|   | | |   |   |   |   |   | | |   | | |   |_|_|

|   |   |_|_|   |___|   |___|   | | |   | | |   |   |

|___|   | | |   | | |   | | |   |_|_|   |_|_|   |___|

|   |   | | |   | | |   | | |   |   |   |   |   |   |

|___|   |_|_|   |_|_|   |_|_|   |___|   |___|   |___|

CROSSREFS

Column k=10 of A219967.

Sequence in context: A290847 A324420 A225160 * A266051 A202975 A051816

Adjacent sequences:  A219971 A219972 A219973 * A219975 A219976 A219977

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Dec 02 2012

STATUS

approved

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Last modified July 1 20:10 EDT 2022. Contains 354975 sequences. (Running on oeis4.)