

A132370


Array read by antidiagonals: T(m,n) = number of spotlight tilings of a width 1 m X n frame.


0



16, 34, 34, 58, 68, 58, 88, 112, 112, 88, 124, 166, 180, 166, 124, 166, 230, 262, 262, 230, 166, 214, 304, 358, 376, 358, 304, 214
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OFFSET

3,1


LINKS

Table of n, a(n) for n=3..30.
B. E. Tenner, Spotlight tiling, Ann. Combin. 14 (4) (2010) 553


FORMULA

T(m,n) = 2(m2)*(n2)*(m+n2) + (m2)*(m+1) + (n2)*(n+1)


EXAMPLE

A 3 X 3 frame with width 1 has 16 spotlight tilings.
.16..34..58...88..124..166..214..268...
.34..68.112..166..230..304..388..482....
.58.112.180..262..358..468..592..730....
.88.166.262..376..508..658..826.1012....
124.230.358..508..680..874.1090.1328....
166.304.468..658..874.1116.1384.1678....
214.388.592..826.1090.1384.1708.2062....
268.482.730.1012.1328.1678.2062.2480...


CROSSREFS

Sequence in context: A144533 A041510 A070590 * A185467 A245664 A091216
Adjacent sequences: A132367 A132368 A132369 * A132371 A132372 A132373


KEYWORD

nonn,tabl


AUTHOR

Bridget Tenner, Nov 09 2007


STATUS

approved



