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A140737
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Triangle read by rows, X^n * [1,0,0,0,...]; where X = an infinite tridiagonal matrix with (1,1,1,...) in the main and subdiagonals and (1,0,1,0,1,...) in the subsubdiagonal.
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2
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1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 3, 6, 4, 5, 1, 1, 1, 4, 10, 10, 15, 6, 7, 1, 1, 1, 5, 15, 20, 35, 21, 28, 8, 9, 1, 1, 1, 6, 21, 35, 70, 56, 84, 36, 45, 10, 11, 1, 1, 1, 7, 28, 56, 126, 126, 210, 120, 165, 55, 66, 12, 13, 1, 1
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OFFSET
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1,6
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COMMENTS
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Row sums = F(2n), A001906: (1, 3, 8, 21, 55, 144,...).
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LINKS
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Table of n, a(n) for n=1..64.
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EXAMPLE
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First few rows of the triangle are:
1;
1, 1, 1;
1, 2, 3, 1, 1;
1, 3, 6, 4, 5, 1, 1;
1, 4, 10, 10, 15, 6, 7, 1, 1;
1, 5, 15, 20, 35, 21, 28, 8, 9, 1, 1;
1, 6, 21, 35, 70, 56, 84, 36, 45, 10, 11, 1, 1;
1, 7, 28, 56, 126, 126, 210, 120, 165, 55, 66, 12, 13, 1, 1;
...
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CROSSREFS
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Cf. A140736, A001906.
Sequence in context: A140188 A180050 A202603 * A108756 A106178 A205104
Adjacent sequences: A140734 A140735 A140736 * A140738 A140739 A140740
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KEYWORD
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nonn,tabl
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AUTHOR
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Gary W. Adamson (AT) Roger L. Bagula (qntmpktK(AT)yahoo.com), May 25 2008
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STATUS
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approved
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