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Search: id:A116647
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| A116647 |
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Triangle of number of partitions that fit in an n x n box (but not in an n-1 x n-1 box) with Durfee square k. |
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+0
2
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| 1, 3, 1, 5, 8, 1, 7, 27, 15, 1, 9, 64, 84, 24, 1, 11, 125, 300, 200, 35, 1, 13, 216, 825, 1000, 405, 48, 1, 15, 343, 1911, 3675, 2695, 735, 63, 1, 17, 512, 3920, 10976, 12740, 6272, 1232, 80, 1, 19, 729, 7344, 28224, 47628, 37044, 13104, 1944, 99, 1, 21, 1000, 12825
(list; table; graph; listen)
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OFFSET
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1,2
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LINKS
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Eric Weisstein's World of Mathematics, Durfee Square.
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FORMULA
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T(n,k) = C(n,k)^2 - C(n-1,k)^2.
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EXAMPLE
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1; 3,1; 5,8,1; 7,27,15,1; 9,64,84,24,1; 11,125,300,200,35,1; ...
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CROSSREFS
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Cf. A008459; row sums A051924.
Sequence in context: A137328 A140991 A038738 this_sequence A063858 A124420 A094353
Adjacent sequences: A116644 A116645 A116646 this_sequence A116648 A116649 A116650
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Frank Adams-Watters (FrankTAW(AT)Netscape.net), Feb 20 2006
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