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Search: id:A062142
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| A062142 |
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Fourth (unsigned) 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, 28, 560, 10080, 176400, 3104640, 55883520, 1037836800, 19978358400, 399567168000, 8310997094400, 179819755315200, 4045944494592000, 94612855873536000, 2297740785500160000, 57903067794604032000
(list; graph; listen)
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OFFSET
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0,2
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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+3)!*binomial(n+6, 6)/3!; e.g.f.:(1+18*x+45*x^2+20*x^3)/(1-x)^10.
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-3)=(-1)^(n-1)*f(n,3,-7), (n>=3). [From Milan R. Janjic (agnus(AT)blic.net), Mar 01 2009]
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PROGRAM
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(Other) sage: [binomial(n, 6)*factorial (n-3)/factorial (3) for n in xrange(6, 22)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 07 2009]
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CROSSREFS
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A062141.
Sequence in context: A163198 A001234 A145149 this_sequence A107397 A053110 A004371
Adjacent sequences: A062139 A062140 A062141 this_sequence A062143 A062144 A062145
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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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