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A084479 Number of fault-free tilings of (5 X 3n) rectangle with right tromino. +0
5
72, 384, 3360, 21504, 163968, 1136640, 8283648, 58791936, 423121920, 3022872576, 21679875072, 155169515520, 1111792499712, 7961492434944, 57028930483200, 408439216748544, 2925470825868288, 20952944438968320 (list; graph; listen)
OFFSET

2,1

COMMENT

Fault-free tilings are those where the only straight interface is at the left and right end. Thus a(n) <= A084478(n).

LINKS

C. Moore, [math/9905012] Some Polyomino Tilings of the Plane

M. Aanjaneya and S. P. Pal, Faultfree tromino tilings of rectangles

FORMULA

G.f. 24z^2(3+10z+15z^2)/(1-2z-31z^2-40z^3-20z^4).

CROSSREFS

Cf. A084478, A084477, A084480, A084481.

Adjacent sequences: A084476 A084477 A084478 this_sequence A084480 A084481 A084482

Sequence in context: A004007 A107314 A090788 this_sequence A084478 A085718 A077120

KEYWORD

nonn,easy

AUTHOR

Ralf Stephan (ralf(AT)ark.in-berlin.de), May 27 2003

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Last modified November 21 00:02 EST 2008. Contains 150810 sequences.


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