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A080249
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Stirling-like number triangle defined by the sequence A000292=C(n+3,3).
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2
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1, 1, 1, 1, 5, 1, 1, 21, 15, 1, 1, 85, 171, 35, 1, 1, 341, 1795, 871, 70, 1, 1, 1365, 18291, 19215, 3321, 126, 1, 1, 5461, 184275, 402591, 135450, 10377, 210, 1, 1, 21845, 1848211, 8236095, 5143341, 716562, 28017, 330, 1, 1, 87381, 18503955, 166570111
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,5
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COMMENTS
| Columns include A002450, A016225. The defining sequence A000292=C(n+3,3) is the sequence of partial sums of the defining sequence for number triangle A080248.
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FORMULA
| T(n, k)=T(n-1, k-1)+A000292(k)T(n-1, k) Columns are generated by 1/product{k=0..n, 1-C(k+3, 3)x}
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EXAMPLE
| Rows are {1}, {1,1}, {1,5,1}, {1,21,15,1}, {1,85,171,35,1},... For example, 171=21+10.15, 35=15+20.1
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CROSSREFS
| Cf. A080248, A008277.
Sequence in context: A111577 A176242 A036969 * A157154 A022168 A157212
Adjacent sequences: A080246 A080247 A080248 * A080250 A080251 A080252
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KEYWORD
| easy,nonn,tabl
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Feb 17 2003
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