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Search: id:A062199
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| A062199 |
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Second (unsigned) column sequence of triangle A062140 (generalized a=4 Laguerre). |
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+0
7
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| 1, 12, 126, 1344, 15120, 181440, 2328480, 31933440, 467026560, 7264857600, 119870150400, 2092278988800, 38532804710400, 746943599001600, 15205637551104000, 324386934423552000, 7237883474325504000
(list; graph; listen)
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OFFSET
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0,2
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LINKS
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Milan Janjic, Enumerative Formulas for Some Functions on Finite Sets
Index entries for sequences related to Laguerre polynomials
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FORMULA
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E.g.f.: (1+5*x)/(1-x)^7.
a(n)=A062140(n+1, 1) = (n+1)!*binomial(n+5, 5).
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)=(-1)^(n-1)*f(n,1,-6), (n>=1). [From Milan R. Janjic (agnus(AT)blic.net), Mar 01 2009]
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MATHEMATICA
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Table[Sum[n!/5!, {i, 5, n}], {n, 5, 21}] [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 12 2009]
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PROGRAM
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(Other) sage: [binomial(n, 5)*factorial (n-4) for n in xrange(5, 22)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 07 2009]
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CROSSREFS
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A001720 (first column of A062140).
Sequence in context: A159736 A004991 A101602 this_sequence A124797 A045508 A099157
Adjacent sequences: A062196 A062197 A062198 this_sequence A062200 A062201 A062202
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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.uni-karlsruhe.de), Jun 19 2001
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