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A059374
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Triangle T(n,k)=Sum_{i=0..n} L'(n,n-i)*binomial(i,k), k=0..n-1.
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0
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1, 3, 2, 13, 18, 6, 73, 156, 108, 24, 501, 1460, 1560, 720, 120, 4051, 15030, 21900, 15600, 5400, 720, 37633, 170142, 315630, 306600, 163800, 45360, 5040, 394353, 2107448, 4763976, 5891760, 4292400, 1834560, 423360, 40320
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| L'(n,i) are unsigned Lah numbers (Cf. A008297).
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FORMULA
| E.g.f.: exp(x/(1-(1+y)*x))/(1-(1+y)*x)^2. - Vladeta Jovovic (vladeta(AT)eunet.rs), May 10 2003
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EXAMPLE
| [1], [3, 2], [13, 18, 6], [73, 156, 108, 24], [501, 1460, 1560, 720, 120], ...
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CROSSREFS
| Cf. T(n, 0) = A000262, row sums = A025168, A059110.
Sequence in context: A005352 A095131 A060149 * A098384 A064536 A163355
Adjacent sequences: A059371 A059372 A059373 * A059375 A059376 A059377
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KEYWORD
| easy,nonn,tabl
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AUTHOR
| Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 28 2001
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