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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

%I

%S 1,1,8,44,233,1262,6523,34468,181615,957006,5044388,26575335,

%T 140039124,737911089,3888300180,20488828781,107962314409,568889946804,

%U 2997672175041,15795742092745,83233076938962,438583048406589,2311041500385152,12177654397383350

%N Number of tilings of a 5 X n rectangle using V (2m+1)-ominoes (m >= 0) in standard orientation.

%C The shapes of the tiles are:

%C ._.

%C ._. | |

%C ._. | | | |

%C ._. | |_. | |_._. | |_._._.

%C |_| |___| |_____| |_______| ... .

%H Alois P. Heinz, <a href="/A322498/b322498.txt">Table of n, a(n) for n = 0..1000</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Polyomino">Polyomino</a>

%H <a href="/index/Rec#order_16">Index entries for linear recurrences with constant coefficients</a>, signature (1,10,36,93,240,392,551,576,361,324,58,58,57,-76,50,-10).

%F 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).

%Y Column k=5 of A322494.

%K nonn,easy

%O 0,3

%A _Alois P. Heinz_, Dec 12 2018

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Last modified September 19 14:14 EDT 2020. Contains 337178 sequences. (Running on oeis4.)