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A140734
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Triangle read by rows, X^n * [1,0,0,0,...]; where X = a tridiagonal matrix with (1,1,1,...) in the main and subsubdiagonals and (1,2,3,...) in the subdiagonal.
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1
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1, 1, 1, 1, 1, 2, 4, 4, 1, 1, 3, 9, 18, 21, 9, 1, 1, 4, 16, 48, 102, 132, 76, 16, 1, 1, 5, 25, 100, 310, 690, 970, 680, 205, 25, 1, 1, 6, 36, 180, 735, 2340, 5420, 8160, 2550, 456, 36, 1, 1, 7, 49, 294, 1491, 6195, 20195, 48440, 778315, 70245, 32571, 7602, 889, 49, 1
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,6
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LINKS
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EXAMPLE
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First few rows of the triangle:
1;
1, 1, 1;
1, 2, 4, 4, 1;
1, 3, 9, 18, 21, 9, 1;
1, 4, 16, 48, 102, 132, 76, 16, 1;
1, 5, 25, 100, 310, 690, 970, 680, 205, 25, 1;
1, 6, 36, 180, 735, 2340, 5420, 8160, 2550, 456, 36, 1;
1, 7, 49, 294, 1491, 6195, 20195, 48440, 77315, 70245, 32571, 7602, 889, 49, 1;
...
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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