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A209670 a(n) = count of monomials, of degrees k=1 to n, in the elementary symmetric polynomials e(mu,k) summed over all partitions mu of n. 4
1, 6, 48, 547, 7301, 120315, 2239803, 48278809, 1153934735, 30834749017, 900390736548, 28782727026031, 993911439932097, 37039780178206877, 1477457354215115765, 62950691931099382408, 2849385291187650049208, 136701569959985165325989, 6924379544998951633495956 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Peter J. Taylor, Table of n, a(n) for n = 1..100

Wikipedia, Symmetric Polynomials

FORMULA

Row sums of triangle A209669.

MATHEMATICA

e[n_, v_] := Tr[Times @@@ Select[Subsets[Table[Subscript[x, j], {j, v}]], Length[#] == n &]]; e[par_?PartitionQ, v_] := Times @@ (e[#, v] & /@ par); Tr/@ Table[Tr[(e[#, k] & /@ Partitions[l]) /. Subscript[x, _] -> 1], {l, 10}, {k, l}]

CROSSREFS

Cf. A209664-A209673.

Sequence in context: A052567 A002170 A153467 * A223270 A052731 A052711

Adjacent sequences:  A209667 A209668 A209669 * A209671 A209672 A209673

KEYWORD

nonn

AUTHOR

Wouter Meeussen, Mar 11 2012

EXTENSIONS

More terms from Peter J. Taylor, Mar 02 2017

STATUS

approved

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Last modified October 15 00:14 EDT 2019. Contains 328025 sequences. (Running on oeis4.)