A236583 The number of tilings of an 8 X (3n) floor with 2 X 3 hexominoes.
1, 1, 4, 11, 33, 96, 281, 821, 2400, 7015, 20505, 59936, 175193, 512089, 1496836, 4375251, 12788857, 37381824, 109267057, 319387565, 933569728, 2728823951, 7976351345, 23314871872, 68149361393
Offset: 0
Links
- R. J. Mathar, Paving rectangular regions..., arXiv:1311.6135, Table 51.
- R. J. Mathar, Tilings of Rectangular Regions by Rectangular Tiles: Counts Derived from Transfer Matrices, arXiv:1406.7788 [math.CO], eq. (34).
- Index entries for linear recurrences with constant coefficients, signature (3,0,-1,1).
Crossrefs
Programs
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Maple
g := (-1+x)^2/(x^3-x^4+1-3*x) ; taylor(%,x=0,30) ; gfun[seriestolist](%) ;
Formula
G.f.: (-1+x)^2/(x^3-x^4+1-3*x).
Comments