A025133 4th elementary symmetric function of C(n,0), C(n,1), ..., C(n,n).

9, 256, 5825, 117561, 2229206, 40645536, 721957977, 12587900665, 216494284886, 3684700444921, 62202196684966, 1043201004995254, 17402695775329724, 289035985511398816, 4782824895703150121, 78896686234320906753, 1297987090781736899270, 21304819716551897181561

Offset: 3

Author

Clark Kimberling

Keywords

• nonn

Programs

Maple

SymmPolyn := proc(L::list,n::integer)
    local c,a,sel;
    a :=0 ;
    sel := combinat[choose](nops(L),n) ;
    for c in sel do
        a := a+mul(L[e],e=c) ;
    end do:
    a;
end proc:
A025133 := proc(n)
    [seq(binomial(n,i),i=0..n)] ;
    SymmPolyn(%,4) ;
end proc: # R. J. Mathar, Sep 23 2016

Extensions

a(10) corrected and more terms from Sean A. Irvine, Aug 10 2019