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A089246
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Triangular array read by rows: a(n, k) is the number of ordered m-tuples of positive integers (x_1, ..., x_m) such that max x_i = n+1-m and there are k ones (0 <= k <= n).
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3
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1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 5, 5, 3, 0, 1, 14, 15, 9, 4, 0, 1, 43, 50, 31, 14, 5, 0, 1, 144, 180, 118, 54, 20, 6, 0, 1, 523, 695, 481, 229, 85, 27, 7, 0, 1, 2048, 2869, 2081, 1035, 395, 125, 35, 8, 0, 1, 8597, 12616, 9535, 4929, 1951, 629, 175, 44, 9, 0, 1, 38486, 58862
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,7
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COMMENTS
| The row sums are given by A047970 because row n counts the same tuples as the n-th antidiagonal of A047969.
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EXAMPLE
| a(5, 0) = 14: (5), (4,2), (2,4), (4,3), (3,4), (4,4),
(3,2,2), (2,3,2), (2,2,3), (3,3,2), (3,2,3), (2,3,3), (3,3,3), (2,2,2,2).
a(5, 1) = 15: (4,1), (1,4), (3,3,1), (3,1,3), (1,3,3), 6 permutations of (3,2,1) and 4 permutations of (2,2,2,1).
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CROSSREFS
| Cf. A047969, A047970, A089302.
Sequence in context: A158852 A188285 A102404 * A105929 A065600 A029583
Adjacent sequences: A089243 A089244 A089245 * A089247 A089248 A089249
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KEYWORD
| nonn,tabl,easy
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AUTHOR
| Alford Arnold (Alford1940(AT)aol.com), Dec 22 2003
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EXTENSIONS
| Edited and extended by David Wasserman (dwasserm(AT)earthlink.net), Sep 07 2005
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