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A062144 Sixth (unsigned) column sequence of coefficient triangle A062137 of generalized Laguerre polynomials n!*L(n,3,x). 2
1, 54, 1890, 55440, 1496880, 38918880, 998917920, 25686460800, 667847980800, 17660868825600, 476843458291200, 13178219210956800, 373382877643776000, 10856825211488256000, 324153781314435072000 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

LINKS

Index entries for sequences related to Laguerre polynomials

FORMULA

a(n)= (n+5)!*binomial(n+8, 8)/5!; e.g.f.: N(3;5, x)/(1-x)^14 with N(3;5, x) := sum(A062145(5, k)*x^k, k=0..5)= 1+40*x+280*x^2+560*x^3+350*x^4+56*x^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-5)=(-1)^(n-1)*f(n,5,-9), (n>=5). [From Milan R. Janjic (agnus(AT)blic.net), Mar 01 2009]

CROSSREFS

A062143.

Sequence in context: A172501 A173188 A004363 * A076009 A003755 A174445

Adjacent sequences:  A062141 A062142 A062143 * A062145 A062146 A062147

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Jun 19 2001

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Last modified February 16 23:45 EST 2012. Contains 205978 sequences.