0,2

Index entries for sequences related to Laguerre polynomials

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]

A062143.

Sequence in context: A035722 A017717 A004363 this_sequence A076009 A003755 A042405

Adjacent sequences: A062141 A062142 A062143 this_sequence A062145 A062146 A062147

nonn,easy

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