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Search: id:A094526
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| A094526 |
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Square array of binomial transforms read by antidiagonals. |
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+0
2
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| 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 7, 4, 1, 1, 5, 13, 13, 5, 1, 1, 6, 21, 34, 21, 6, 1, 1, 7, 31, 73, 73, 31, 7, 1, 1, 8, 43, 136, 185, 136, 43, 8, 1, 1, 9, 57, 229, 381, 381, 229, 57, 9, 1, 1, 10, 73, 358, 685, 826, 685, 358, 73, 10, 1, 1, 11, 91, 529, 1121, 1531
(list; table; graph; listen)
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OFFSET
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0,5
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COMMENT
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Rows (and columns) are binomial transforms of [1,k,k(k-1),k(k-1)(k-2),0,0,...], k>=0. One of a family of arrays that converge to A088699.
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FORMULA
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Square array T(n, k) defined by T(n, k)=1+kn+k(k-1)n(n-1)/2+k(k-1)(k-2)n(n-1)(n-2)/6
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EXAMPLE
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Rows start
1,1,1,1,1,...
1,2,3,4,5,...
1,3,7,13,21,...
1,4,13,34,73,...
1,5,21,73,185,...
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CROSSREFS
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Cf. A094525.
Adjacent sequences: A094523 A094524 A094525 this_sequence A094527 A094528 A094529
Sequence in context: A114197 A108350 A086617 this_sequence A088699 A101515 A028657
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), May 07 2004
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