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Search: id:A111598
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| A111598 |
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Lah numbers: n!*binomial(n-1,7)/8!. |
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+0
2
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| 1, 72, 3240, 118800, 3920400, 122316480, 3710266560, 111307996800, 3339239904000, 100919250432000, 3088129063219200, 96012739965542400, 3040403432242176000, 98228418580131840000, 3241537813144350720000
(list; graph; listen)
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OFFSET
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8,2
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REFERENCES
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L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 156.
J. Riordan, An Introduction to Combinatorial Analysis, Wiley, 1958, p. 44.
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FORMULA
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E.g.f. ((x/(1-x))^8)/8!.
a(n)= (n!/8!)*binomial(n-1, 8-1).
If we define f(n,i,x)= sum(sum(binomial(k,j)*stirling1(n,k)*stirling2(j,i)*x^(k-j),j=i..k),k=i..n) then a(n)=(-1)^n*f(n,8,-8), (n>=8). [From Milan R. Janjic (agnus(AT)blic.net), Mar 01 2009]
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CROSSREFS
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Column 8 of unsigned A008297 and A111596. Column 7: A111597.
Sequence in context: A141054 A004366 A004389 this_sequence A116312 A111782 A054557
Adjacent sequences: A111595 A111596 A111597 this_sequence A111599 A111600 A111601
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KEYWORD
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nonn,easy
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Aug 23 2005
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