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A062149
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Third column sequence of triangle A062138 (generalized a=5 Laguerre).
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1
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1, 24, 432, 7200, 118800, 1995840, 34594560, 622702080, 11675664000, 228324096000, 4657811558400, 99084354969600, 2196369868492800, 50685458503680000, 1216451004088320000, 30330178368602112000
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| Index entries for sequences related to Laguerre polynomials
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FORMULA
| E.g.f.: (1+14*x+21*x^2)/(1-x)^10.
a(n)=A062138(n+2, 2) = (n+2)!*binomial(n+7, 7)/2!.
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-2)=(-1)^n*f(n,2,-8), (n>=2). [From Milan R. Janjic (agnus(AT)blic.net), Mar 01 2009]
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MAPLE
| a:=n->sum(n-j, j=6..n)*n!/7!: seq(a(n), n=7..22); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 29 2007
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CROSSREFS
| A062148.
Sequence in context: A051546 A081128 A059158 * A083195 A004358 A006260
Adjacent sequences: A062146 A062147 A062148 * A062150 A062151 A062152
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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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