A024523 a(n) = 3rd elementary symmetric function of {1, p(1), p(2), ..., p(n-1)}, where p(0) = 1.

6, 61, 348, 1646, 5754, 17535, 44268, 102412, 227750, 452531, 869928, 1576686, 2666994, 4341745, 6932756, 10845872, 16266454, 24022575, 34629762, 48484870, 67169634, 91475603, 123389134, 165725172, 219251334, 284875003, 365853566

Offset

3,1

Links

Table of n, a(n) for n=3..29.

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:
A024523 := proc(n)
    [1, seq(ithprime(k), k=1..n-1)] ;
    SymmPolyn(%, 3) ;
end proc: # R. J. Mathar, Sep 23 2016

Crossrefs

Sequence in context: A077682 A326739 A055331 * A252873 A068171 A069633

Adjacent sequences: A024520 A024521 A024522 * A024524 A024525 A024526

Keyword

nonn

Author

Clark Kimberling

Status

approved