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

1,2

Comments

Row sums of triangle A191714.

Links

Table of n, a(n) for n=1..22.

Wikipedia, Symmetric Polynomials

Mathematica

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

Crossrefs

Cf. A209664-A209673.

Sequence in context: A302442 A367285 A349882 * A367041 A057793 A090226

Adjacent sequences: A209669 A209670 A209671 * A209673 A209674 A209675

Keyword

nonn

Author

Wouter Meeussen, Mar 11 2012

Extensions

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

Status

approved