A062262 Fifth (unsigned) column sequence of triangle A062140 (generalized a=4 Laguerre).

1, 45, 1350, 34650, 831600, 19459440, 454053600, 10702692000, 256864608000, 6307453152000, 158947819430400, 4118193503424000, 109818493424640000, 3015784780968960000, 85303626661693440000

Offset

0,2

Links

Harry J. Smith, Table of n, a(n) for n = 0..100

Index entries for sequences related to Laguerre polynomials

Formula

E.g.f.: (1+32*x+168*x^2+224*x^3+70*x^4)/(1-x)^13.

a(n) = A062140(n+4, 4).

a(n) = (n+4)!*binomial(n+8, 8)/4!.

If we define f(n,i,x)= Sum_{k=i..n} Sum_{j=i..k} binomial(k,j)* Stirling1(n,k)*Stirling2(j,i)*x^(k-j) then a(n-4) = (-1)^n*f(n,4,-9), (n>=4). - Milan Janjic, Mar 01 2009

Mathematica

Table[(n+4)!*Binomial[n+8, 8]/4!, {n, 0, 30}] (* G. C. Greubel, May 13 2018 *)

Prog

(PARI) { f=6; for (n=0, 100, f*=n + 4; write("b062262.txt", n, " ", f*binomial(n + 8, 8)/24) ) } \\ Harry J. Smith, Aug 03 2009
(Magma) [Factorial(n+4)*Binomial(n+8, 8)/24: n in [0..30]]; // G. C. Greubel, May 13 2018

Crossrefs

Cf. A001720, A062199, A062260, A062261.

Sequence in context: A243570 A145151 A027476 * A137716 A035521 A107399

Adjacent sequences: A062259 A062260 A062261 * A062263 A062264 A062265

Keyword

nonn,easy

Author

Wolfdieter Lang, Jun 19 2001

Status

approved