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A062148
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Second (unsigned) column sequence of triangle A062138 (generalized a=5 Laguerre).
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4
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1, 14, 168, 2016, 25200, 332640, 4656960, 69189120, 1089728640, 18162144000, 319653734400, 5928123801600, 115598414131200, 2365321396838400, 50685458503680000, 1135354270482432000
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| Milan Janjic, Enumerative Formulas for Some Functions on Finite Sets
Index entries for sequences related to Laguerre polynomials
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FORMULA
| E.g.f.: (1+6*x)/(1-x)^8.
a(n)=A062138(n+1, 1) = (n+1)!*binomial(n+6, 6).
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,-7), (n>=1). [From Milan R. Janjic (agnus(AT)blic.net), Mar 01 2009]
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MATHEMATICA
| Table[Sum[n!/6!, {i, 6, n}], {n, 6, 21}] [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 12 2009]
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CROSSREFS
| A001725 (first column of A062138).
Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), Nov 12 2009: (Start)
Appears in the third left hand column of A167556 multiplied by 120.
(End)
Sequence in context: A016146 A125449 A159738 * A200164 A199529 A098299
Adjacent sequences: A062145 A062146 A062147 * A062149 A062150 A062151
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KEYWORD
| nonn,easy
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AUTHOR
| Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Jun 19 2001
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