A024185 Fourth elementary symmetric function of 3,4,...,n+5.

360, 2754, 12154, 40369, 111769, 271929, 600033, 1225983, 2353263, 4288713, 7480473, 12565462, 20427862, 32270182, 49698582, 74824242, 110382666, 159872916, 227718876, 319454751, 441937111, 603585895, 814656895, 1087548345, 1437144345

Offset

1,1

Links

Ivan Neretin, Table of n, a(n) for n = 1..10000

Formula

G.f.: x*(360-486*x+328*x^2-113*x^3+16*x^4)/(1-x)^9. - R. J. Mathar, Sep 15 2009

a(n) = n*(n+1)*(n+2)*(n+3)*(15*n^4+450*n^3+5165*n^2+26922*n+53848)/5760. - R. J. Mathar, Sep 15 2009

Maple

S := proc(n, L) mul(x+i, i=L) ; expand(%) ; coeftayl(%, x=0, nops(L)-n) ; end:
A024185 := proc(n) S(4, [seq(j, j=3..n+5)]) ; end: seq(A024185(n), n=1..40) ; # R. J. Mathar, Sep 15 2009

Prog

(GAP) List([1..30], n->n*(n+1)*(n+2)*(n+3)*(15*n^4+450*n^3+5165*n^2+26922*n+53848)/5760); # Muniru A Asiru, May 19 2018

Crossrefs

Sequence in context: A056380 A234555 A234550 * A033592 A305626 A056322

Adjacent sequences: A024182 A024183 A024184 * A024186 A024187 A024188

Keyword

nonn

Author

Clark Kimberling

Extensions

Variable set in definition changed by R. J. Mathar, Sep 15 2009

Status

approved