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Search: id:A067050
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| A067050 |
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Triangle T(n,r), n>=0, r=n, n-1, ..., 1, 0; where T(n,r) = product of all possible sums of r numbers chosen from [1..n]. |
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+0
2
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| 1, 1, 1, 3, 2, 1, 6, 60, 6, 1, 10, 3024, 12600, 24, 1, 15, 240240, 2874009600, 38102400, 120, 1, 21, 27907200, 129470223826944000, 159950125679984640000, 2112397056000, 720, 1, 28, 4475671200, 1754345199379977566208000000
(list; table; graph; listen)
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OFFSET
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0,4
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COMMENT
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A dual to the triangle of the absolute values of Stirling numbers (sum of products) of the first kind.
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REFERENCES
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Amarnath Murthy, Smarandache Dual Symmetric Functions and Corresponding numbers of the type of Stirling numbers of the first kind, Smarandache Notions Journal, Vol. 12 No. 1-2-3, Spring 2001.
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LINKS
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M. L. Perez et al., eds., Smarandache Notions Journal
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EXAMPLE
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E.g. T(4,3) = (1+2+3)*(1+2+4)*(1+3+4)*(2+3+4)=3024.
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CROSSREFS
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Row sums give A061296.
Sequence in context: A094638 A115755 A016556 this_sequence A001355 A105531 A129689
Adjacent sequences: A067047 A067048 A067049 this_sequence A067051 A067052 A067053
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KEYWORD
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nonn,tabl
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Dec 30 2001
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EXTENSIONS
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Corrected and extended by Vladeta Jovovic (vladeta(AT)Eunet.yu), Dec 31 2001
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