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A059374 Triangle T(n,k)=Sum_{i=0..n} L'(n,n-i)*binomial(i,k), k=0..n-1. +0
1
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; listen)
OFFSET

1,2

COMMENT

L'(n,i) are unsigned Lah numbers (Cf. A008297).

FORMULA

E.g.f.: exp(x/(1-(1+y)*x))/(1-(1+y)*x)^2. - Vladeta Jovovic (vladeta(AT)eunet.rs), May 10 2003

EXAMPLE

[1], [3, 2], [13, 18, 6], [73, 156, 108, 24], [501, 1460, 1560, 720, 120], ...

CROSSREFS

Cf. T(n, 0) = A000262, row sums = A025168, A059110.

Sequence in context: A005352 A095131 A060149 this_sequence A098384 A064536 A163355

Adjacent sequences: A059371 A059372 A059373 this_sequence A059375 A059376 A059377

KEYWORD

easy,nonn,tabl

AUTHOR

Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 28 2001

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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