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1, 3, 1, 5, 3, 1, 7, 7, 5, 1, 9, 14, 14, 5, 1, 11, 25, 30, 16, 7, 1, 13, 41, 55, 41, 27, 7, 1, 15, 63, 91, 91, 77, 29, 9, 1, 17, 92, 140, 182, 182, 92, 44, 9, 1, 19, 129, 204, 336, 378, 246, 156, 46, 11, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Row sums = A133095: (1, 4, 9, 20, 43, 90,...).
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FORMULA
| A007318 * A133080 * A097806, as infinite lower triangular matrices. Binomial transform of an infinite lower triangular matrix with (1,1,1,...) in the main diagonal, (2,1,2,1,...) in the subdiagonal and (0,1,0,1,...) in the subsubdiagonal.
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EXAMPLE
| First few rows of the triangle are:
1;
3, 1;
5, 3, 1;
7, 7, 5, 1;
9, 14, 14, 5, 1;
11, 25, 30, 16, 7, 1;
13, 41, 55, 41, 27, 7, 1;
...
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CROSSREFS
| Cf. A133080, A097806, A133095.
Sequence in context: A099375 A130301 A133601 * A159291 A122510 A102662
Adjacent sequences: A133091 A133092 A133093 * A133095 A133096 A133097
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KEYWORD
| nonn,tabl
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 09 2007
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