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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.
2
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.
MATHEMATICA
(* see A191714 *)
Tr /@ Table[Tr[stanley[#, k] & /@ Partitions[n]], {n, 10}, {k, n}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Wouter Meeussen, Mar 11 2012
EXTENSIONS
a(11)-a(22) from Alois P. Heinz, Mar 11 2012
STATUS
approved