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Search: id:A111600
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| A111600 |
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Lah numbers: n!*binomial(n-1,9)/10!. |
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+0
2
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| 1, 110, 7260, 377520, 17177160, 721440720, 28857628800, 1121325004800, 42890681433600, 1629845894476800, 61934143990118400, 2364758225077248000, 91043191665474048000, 3543681152517682176000, 139722285442125754368000
(list; graph; listen)
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OFFSET
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10,2
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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))^10)/10!.
a(n)= (n!/10!)*binomial(n-1, 10-1).
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,10,-10), (n>=10). [From Milan R. Janjic (agnus(AT)blic.net), Mar 01 2009]
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CROSSREFS
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Column 10 of unsigned A008297 and A111596. Column 9: A111599.
Sequence in context: A163729 A035836 A008395 this_sequence A111784 A146495 A063751
Adjacent sequences: A111597 A111598 A111599 this_sequence A111601 A111602 A111603
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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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