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A209671 a(n) = count of monomials, of degree k=n, in the elementary symmetric polynomials e(mu,k) summed over all partitions mu of n. 4
1, 5, 37, 405, 5251, 84893, 1556535, 33175957, 785671039, 20841132255, 604829604655, 19236214748061, 661348833658423, 24554370466786319, 976242978063976162, 41477168810872793493, 1872694395510428040983, 89644070894632864643651, 4531712537608857605836563 (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

Main diagonal 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[(e[#, l] & /@ Partitions[l]) /. Subscript[x, _] -> 1, {l, 10}]

CROSSREFS

Cf. A209664-A209673.

Sequence in context: A092649 A179923 A190628 * A173796 A292873 A161565

Adjacent sequences:  A209668 A209669 A209670 * A209672 A209673 A209674

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 November 21 17:44 EST 2017. Contains 295004 sequences.