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Search: id:A140751
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| A140751 |
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Triangle read by rows, X^n * [1,0,0,0,...] where X = an infinite tridiagonal matrix with (1,0,1,0,1,...) in the main and subdiagonals and (1,1,1,...) in the subsubdiagonal. |
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+0
2
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| 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 4, 4, 6, 6, 4, 4, 1, 1, 1, 5, 5, 10, 10, 10, 10, 5, 5, 1, 1, 1, 6, 6, 15, 15, 20, 20, 15, 15, 6, 6, 1, 1, 1, 7, 7, 21, 21, 35, 35, 35, 35, 21, 21, 7, 7, 1
(list; table; graph; listen)
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OFFSET
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0,7
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COMMENT
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Row sums = (2^n - 1): (1, 3, 7, 15, 31,...).
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EXAMPLE
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First few rows of the triangle are;
1;
1, 1, 1;
1, 1, 2, 2, 1;
1, 1, 3, 3, 3, 3, 1;
1, 1, 4, 4, 6, 6, 4, 4, 1;
1, 1, 5, 5, 10, 10, 10, 10, 5, 5, 1;
1, 1, 6, 6, 15, 15, 20, 20, 15, 15, 6, 6, 1;
1, 1, 7, 7, 21, 21, 35, 35, 35, 35, 21, 21, 7, 7, 1;
...
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CROSSREFS
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Cf. A140750.
Sequence in context: A058914 A123682 A134513 this_sequence A162741 A104320 A128706
Adjacent sequences: A140748 A140749 A140750 this_sequence A140752 A140753 A140754
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KEYWORD
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nonn,tabl
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AUTHOR
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Gary W. Adamson & Roger L. Bagula (qntmpkt(AT)yahoo.com), May 26 2008
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