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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 (list; table; graph; refs; listen; history; text; internal format)
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(m-2)*(n-2)*(m+n-2) + (m-2)*(m+1) + (n-2)*(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

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Last modified December 2 23:22 EST 2021. Contains 349445 sequences. (Running on oeis4.)