A209672 a(n) = count of monomials, of degrees k=1 to n, in the Schur symmetric polynomials s(mu,k) summed over all partitions mu of n.

1, 5, 26, 165, 1093, 8203, 64516, 550766, 4911215, 46480657, 457372449, 4714813700, 50312993309, 557792410015, 6377533006104, 75321602836350, 914532538185703, 11422271100356431, 146273502952981364, 1920759273853147991, 25802956138975439144, 354546559878617075950

Offset: 1

Author

Wouter Meeussen, Mar 11 2012

Keywords

• nonn

Comments

Row sums of triangle A191714.

Links

• Wikipedia, Symmetric Polynomials

Crossrefs

Cf. A209664-A209673.

Programs

Mathematica

(* see A191714 *)
Tr /@ Table[Tr[stanley[#, k] & /@ Partitions[n]], {n, 10}, {k, n}]

Extensions

a(11)-a(22) from Alois P. Heinz, Mar 11 2012