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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 (list; graph; refs; listen; history; text; internal format)
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: A001705 A185108 A302442 * A057793 A090226 A094422

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

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Last modified October 19 13:01 EDT 2019. Contains 328222 sequences. (Running on oeis4.)