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