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Search: id:A134247
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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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+0
2
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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
(list; table; graph; listen)
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OFFSET
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0,2
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COMMENT
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Row sums = A072863: (1, 3, 9, 26, 72, 192, 496,...).
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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: A030237 A118243 A134081 this_sequence A104029 A119308 A110197
Adjacent sequences: A134244 A134245 A134246 this_sequence 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 (qntmpkt(AT)yahoo.com), Oct 15 2007
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