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Search: id:A153859
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| 1, 1, 1, 1, 2, 1, 1, 3, 3, 2, 1, 4, 6, 8, 4, 1, 5, 10, 20, 20, 9, 1, 6, 15, 40, 60, 54, 23, 1, 7, 21, 70, 140, 189, 161, 65, 1, 8, 28, 112, 280, 504, 644, 520, 199, 1, 9, 36, 168, 504, 1134, 1932, 2340, 1791, 654, 1, 10, 45, 240, 840, 2268, 4830, 7800, 8955, 6540, 2296
(list; table; graph; listen)
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OFFSET
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0,5
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COMMENT
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Row sums = A007476 starting (1, 2, 4, 9, 23, 65, 199,...).
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FORMULA
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Triangle read by rows A007318 * (A007476 * 0^(n-k)) = binomial transform of an infinite lower triangular matrix with A007476 as the main diagonal: (1, 1, 1, 2, 4, 9, 23, 65, 199,...) and the rest zeros.
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EXAMPLE
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First few rows of the triangle =
1;
1, 1;
1, 2, 1;
1, 3, 3, 2;
1, 4, 6, 8, 4;
1, 5, 10, 20, 20, 9;
1, 6, 15, 40, 60, 54, 23;
1, 7, 21, 70, 140, 189, 161, 65;
1, 8, 28, 112, 280, 504, 644, 520, 199;
1, 9, 36, 168, 504, 1134, 1932, 2340, 1791, 654;
1, 10, 45, 240, 840, 2268, 4830, 7800, 8955, 6540, 2296;
...
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CROSSREFS
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Cf. A007476
Sequence in context: A144401 A034929 A099509 this_sequence A131336 A052253 A127838
Adjacent sequences: A153856 A153857 A153858 this_sequence A153860 A153861 A153862
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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), Jan 02 2009
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