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Search: id:A159294
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A159294 Number of ways that a 1 x n rectangular tile T, marked into n unit squares, can be surrounded by one layer of copies of itself laid in the plane grid generated by the units of T. Ways that differ by rotation or reflection are not counted as different. The surrounded tile is the exact surrounded region. +0
2
1, 153, 301, 517, 825, 1234, 1774, 2454, 3310, 4351, 5619, 7123, 8911, 10992, 13420, 16204, 19404, 23029, 27145, 31761, 36949, 42718, 49146, 56242, 64090, 72699, 82159, 92479, 103755, 115996 (list; graph; listen)
OFFSET

1,2

FORMULA

For n>1, a(n) = (1/16)*(n^4 + 30*n^3 + 246*n^2 + 476*n + 256

+ (1 if n odd, 0 if n even)*(6*n + 9))

CROSSREFS

cf. A159295 for analogous problem for strip-of-hexagons tile.

Sequence in context: A095226 A165340 A104810 this_sequence A066528 A046197 A056733

Adjacent sequences: A159291 A159292 A159293 this_sequence A159295 A159296 A159297

KEYWORD

nonn

AUTHOR

David Pasino (davepasino(AT)yahoo.com), Apr 09 2009

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Last modified November 25 08:46 EST 2009. Contains 167481 sequences.


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