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A063650 Number of ways to tile a 6 X n rectangle with 1 X 1 and 2 X 2 tiles. 8
1, 1, 13, 43, 269, 1213, 6427, 31387, 159651, 795611, 4005785, 20064827, 100764343, 505375405, 2536323145, 12724855013, 63851706457, 320373303983, 1607526474153, 8065864257905, 40471399479495, 203068825478591 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..21.

R. J. Mathar, Tiling nxm rectangles with 1x1 and sxs squares arXiv:1609.03964 (2016)

Index entries for linear recurrences with constant coefficients, signature (2,16,1,-27,1,4).

FORMULA

G.f.: ( -1+x+5*x^2-x^4 ) / ( -1+2*x+16*x^2+x^3-27*x^4+x^5+4*x^6 ).

a(n) = 2a(n-1) + 16a(n-2) + a(n-3) - 27a(n-4) + a(n-5) + 4a(n-6) - Keith Schneider (kschneid(AT)bulldog.unca.edu), Apr 02 2006

CROSSREFS

Cf. A001045, A054854, A054855, A063650-A063654.

Column k=6 of A245013.

Sequence in context: A242547 A242548 A104115 * A220612 A144236 A082689

Adjacent sequences:  A063647 A063648 A063649 * A063651 A063652 A063653

KEYWORD

nonn

AUTHOR

Reiner Martin (reinermartin(AT)hotmail.com), Jul 23 2001

STATUS

approved

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Last modified November 21 16:27 EST 2017. Contains 295003 sequences.