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A048743
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Triangle a(n,k) = k!*C(n-1,k-1)*Stirling_2(n,k), 1<=k<=n.
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2
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1, 1, 2, 1, 12, 6, 1, 42, 108, 24, 1, 120, 900, 960, 120, 1, 310, 5400, 15600, 9000, 720, 1, 756, 27090, 168000, 252000, 90720, 5040, 1, 1778, 121716, 1428840, 4410000, 4021920, 987840, 40320, 1, 4080, 508200, 10442880, 58388400, 106686720
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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EXAMPLE
| The 3rd row is formed from [ 1,2,6,24 ]*[ 1,3,3,1 ]*[ 1,7,6,1 ] => [ 1,42,108,24 ].
1;
1,2;
1,12,6;
1,42,108,24;
1,120,900,960,120;
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MAPLE
| A048743 := proc(n, k) k!*binomial(n-1, k-1)*combinat[stirling2](n, k) ; end proc:
seq(seq(A048743(n, k), k=1..n), n=1..12) ; # R. J. Mathar, Aug 30 2011
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CROSSREFS
| Cf. A007318, A008277. Row sums give A045531.
Sequence in context: A107722 A167128 A181417 * A049055 A008285 A119274
Adjacent sequences: A048740 A048741 A048742 * A048744 A048745 A048746
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KEYWORD
| easy,nonn,tabl
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AUTHOR
| Alford Arnold (Alford1940(AT)aol.com)
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EXTENSIONS
| More terms from James A. Sellers (sellersj(AT)math.psu.edu), Apr 22 2000
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