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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

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

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

Adjacent sequences:  A322495 A322496 A322497 * A322499 A322500 A322501

KEYWORD

nonn,easy

AUTHOR

Alois P. Heinz, Dec 12 2018

STATUS

approved

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Last modified August 15 16:02 EDT 2020. Contains 336505 sequences. (Running on oeis4.)