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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
Wikipedia, Polyomino
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)).
MATHEMATICA
LinearRecurrence[{1, 5, 9, 17, 13, 5, -2, -2}, {1, 1, 5, 18, 68, 233, 838, 2989}, 30] (* Harvey P. Dale, May 02 2022 *)
CROSSREFS
Column k=4 of A322494.
Sequence in context: A166677 A318062 A158879 * A279488 A199843 A109438
KEYWORD
nonn,easy
AUTHOR
Alois P. Heinz, Dec 12 2018
STATUS
approved

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Last modified February 23 14:24 EST 2024. Contains 370283 sequences. (Running on oeis4.)