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A322497 Number of tilings of a 4 X n rectangle using V (2m+1)-ominoes (m >= 0) in standard orientation. 2
1, 1, 5, 18, 68, 233, 838, 2989, 10687, 38097, 136002, 485370, 1732377, 6182628, 22065919, 78752901, 281068809, 1003130814, 3580164896, 12777572157, 45603031014, 162756761629, 580877276331, 2073145244569, 7399034871398, 26407082201462, 94246615039341 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

The shapes of the tiles are:

                       ._.

              ._.      | |

       ._.    | |      | |

  ._.  | |_.  | |_._.  | |_._._.

  |_|  |___|  |_____|  |_______|  .

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..1000

Wikipedia, Polyomino

Index entries for linear recurrences with constant coefficients, signature (1,5,9,17,13,5,-2,-2).

FORMULA

G.f.: -(x+1)*(x^3+x-1)/((2*x^2+1)*(x^6+x^5-3*x^4-7*x^3-7*x^2-x+1)).

CROSSREFS

Column k=4 of A322494.

Sequence in context: A166677 A318062 A158879 * A279488 A199843 A109438

Adjacent sequences:  A322494 A322495 A322496 * A322498 A322499 A322500

KEYWORD

nonn,easy

AUTHOR

Alois P. Heinz, Dec 12 2018

STATUS

approved

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Last modified September 28 08:23 EDT 2020. Contains 337394 sequences. (Running on oeis4.)