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A322498 Number of tilings of a 5 X n rectangle using V (2m+1)-ominoes (m >= 0) in standard orientation. 2
1, 1, 8, 44, 233, 1262, 6523, 34468, 181615, 957006, 5044388, 26575335, 140039124, 737911089, 3888300180, 20488828781, 107962314409, 568889946804, 2997672175041, 15795742092745, 83233076938962, 438583048406589, 2311041500385152, 12177654397383350 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
COMMENTS
The shapes of the tiles are:
._.
._. | |
._. | | | |
._. | |_. | |_._. | |_._._.
|_| |___| |_____| |_______| ... .
LINKS
Wikipedia, Polyomino
Index entries for linear recurrences with constant coefficients, signature (1,10,36,93,240,392,551,576,361,324,58,58,57,-76,50,-10).
FORMULA
G.f.: (2*x^11 -8*x^10 +4*x^9 -7*x^8 -18*x^7 -29*x^6 -32*x^5 -20*x^4 -10*x^3 -3*x^2+1) / (10*x^16 -50*x^15 +76*x^14 -57*x^13 -58*x^12 -58*x^11 -324*x^10 -361*x^9 -576*x^8 -551*x^7 -392*x^6 -240*x^5 -93*x^4 -36*x^3 -10*x^2 -x+1).
CROSSREFS
Column k=5 of A322494.
Sequence in context: A198768 A082762 A249794 * A147828 A155604 A126476
KEYWORD
nonn,easy
AUTHOR
Alois P. Heinz, Dec 12 2018
STATUS
approved

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Last modified February 21 22:50 EST 2024. Contains 370239 sequences. (Running on oeis4.)