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Search: id:A062143
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| A062143 |
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Fifth column sequence of coefficient triangle A062137 of generalized Laguerre polynomials n!*L(n,3,x). |
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+0 2
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| 1, 40, 1080, 25200, 554400, 11975040, 259459200, 5708102400, 128432304000, 2968213248000, 70643475302400, 1733976211968000, 43927397369856000, 1148870392750080000, 31019500604252160000, 864410083505160192000
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OFFSET
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0,2
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COMMENT
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The coefficients of the numerator polynomials N(m,x) of the e.g.f. for column m (here m=4) give triangle A062145.
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LINKS
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Index entries for sequences related to Laguerre polynomials
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FORMULA
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a(n)= (n+4)!*binomial(n+7, 7)/4!; e.g.f.:(1+28*x+126*x^2+140*x^3+35*x^4)/(1-x)^12.
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-4)=(-1)^n*f(n,4,-8), (n>=4). [From Milan R. Janjic (agnus(AT)blic.net), Mar 01 2009]
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CROSSREFS
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A062142.
Sequence in context: A028228 A165380 A075907 this_sequence A124100 A071952 A144914
Adjacent sequences: A062140 A062141 A062142 this_sequence A062144 A062145 A062146
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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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