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A140183
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Triangle read by rows, binomial transform of an infinite lower triangular matrix with (1,2,1,2,1,2,...) in the main diagonal, (1,1,1,...) in the subdiagonal and the rest zeros.
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1
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1, 2, 2, 3, 5, 1, 4, 9, 4, 2, 5, 14, 10, 9, 1, 6, 20, 20, 25, 6, 2, 7, 27, 35, 55, 21, 13, 1, 8, 35, 56, 105, 56, 49, 8, 2, 9, 44, 84, 182, 126, 140, 36, 17, 1, 10, 54, 120, 294, 252, 336, 120, 81, 10, 2, 1, 65, 165, 450, 462, 714, 330, 285, 55, 21, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Row sums = A052549: (1, 4, 9, 19, 39, 79,...).
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FORMULA
| Triangle read by rows, A007318 as an infinite lower triangular matrix * a bidiagonal matrix with (1,2,1,2,1,2,...) in the main diagonal and (1,1,1,...) in the subdiagonal.
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EXAMPLE
| First few rows of the triangle are:
1;
2, 2;
3, 5, 1;
4, 9, 4, 2;
5, 14, 10, 9, 1;
6, 20, 20, 25, 6, 2;
7, 27, 35, 55, 21, 13, 1;
...
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CROSSREFS
| Cf. A052549.
Sequence in context: A067088 A065519 A058256 * A130725 A138117 A175908
Adjacent sequences: A140180 A140181 A140182 * A140184 A140185 A140186
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KEYWORD
| nonn,tabl
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), May 11 2008
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