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A062152 Sixth (unsigned) column of triangle A062138 (generalized a=5 Laguerre). 2
1, 66, 2772, 96096, 3027024, 90810720, 2663781120, 77630192640, 2270683134720, 67111301537280, 2013339046118400, 61498356317798400, 1916698771904716800, 61039483966811750400, 1988143192061868441600 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..14.

Index entries for sequences related to Laguerre polynomials

FORMULA

a(n)=A062138(n+5, 5) = (n+5)!*binomial(n+10, 10)/5!.

E.g.f.: N(5;5, x)/(1-x)^16 with N(5;5, x) := sum(A062190(5, k)*x^k, k=0..5) = 1+50*x+450*x^2+1200*x^3+1050*x^4+252*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-10)=(-1)^n*f(n,10,-6), (n>=10). [From Milan Janjic, Mar 01 2009]

CROSSREFS

A062151.

Sequence in context: A017729 A173124 A004365 * A138875 A138877 A004998

Adjacent sequences:  A062149 A062150 A062151 * A062153 A062154 A062155

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Jun 19 2001

STATUS

approved

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Last modified May 24 02:16 EDT 2013. Contains 225613 sequences.