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Search: id:A051597
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| A051597 |
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Rows of triangle formed using Pascal's rule except begin and end n-th row with n+1. |
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+0
5
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| 1, 2, 2, 3, 4, 3, 4, 7, 7, 4, 5, 11, 14, 11, 5, 6, 16, 25, 25, 16, 6, 7, 22, 41, 50, 41, 22, 7, 8, 29, 63, 91, 91, 63, 29, 8, 9, 37, 92, 154, 182, 154, 92, 37, 9, 10, 46, 129, 246, 336, 336, 246, 129, 46, 10, 11, 56, 175, 375, 582, 672, 582, 375, 175, 56, 11
(list; table; graph; listen)
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OFFSET
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0,2
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COMMENT
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The number of spotlight tilings of an m X n rectangle. - Bridget Eileen Tenner (bridget(AT)math.depaul.edu), Nov 09 2007
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REFERENCES
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B. E. Tenner, Spotlight tiling, preprint, 2007.
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FORMULA
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T(2n,n)=A051924(n+1) . . - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 26 2006
T(m,n) = binom{m+n}{m} - binom{m+n-2}{m-1} - Bridget Eileen Tenner (bridget(AT)math.depaul.edu), Nov 09 2007
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EXAMPLE
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1; 2,2; 3,4,3; 4,7,7,4; 5,11,14,11,5; ...
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CROSSREFS
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Row sums give A033484(n).
Sequence in context: A131923 A119457 A065157 this_sequence A084193 A049787 A084192
Adjacent sequences: A051594 A051595 A051596 this_sequence A051598 A051599 A051600
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Asher Auel (asher.auel(AT)reed.edu)
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