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A134247
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A007318 * triangle by rows, n-th row = (n-1) zeros followed by T(n), 1.
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1
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1, 2, 1, 3, 5, 1, 4, 12, 9, 1, 5, 22, 30, 14, 1, 6, 35, 70, 60, 20, 1, 7, 51, 135, 170, 105, 27, 1, 8, 70, 231, 385, 350, 168, 35, 1, 9, 92, 364, 756, 910, 644, 252, 44, 1, 10, 117, 540, 1344, 2016, 1890, 1092, 360, 54, 1
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OFFSET
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0,2
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COMMENTS
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Row sums = A072863: (1, 3, 9, 26, 72, 192, 496,...).
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LINKS
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Table of n, a(n) for n=0..54.
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FORMULA
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Binomial transform of an infinite lower triangular matrix having n-th row = (n-1) zeros followed by T(n), 1, where T(n) = n-th triangular number.
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EXAMPLE
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First few rows of the triangle are:
1;
2, 1;
3, 5, 1;
4, 12, 9, 1;
5, 22, 30, 14, 1;
6, 35, 70, 60, 20, 1;
7, 51, 135, 170, 105, 27, 1;
...
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CROSSREFS
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Cf. A072863, A000217.
Sequence in context: A118243 A210233 A134081 * A210225 A180906 A153277
Adjacent sequences: A134244 A134245 A134246 * A134248 A134249 A134250
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KEYWORD
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nonn,tabl
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AUTHOR
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Gary W. Adamson, Oct 15 2007
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STATUS
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approved
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