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A209671
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a(n) = count of monomials, of degree k=n, in the elementary symmetric polynomials e(mu,k) summed over all partitions mu of n.
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4
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1, 5, 37, 405, 5251, 84893, 1556535, 33175957, 785671039, 20841132255, 604829604655, 19236214748061, 661348833658423, 24554370466786319, 976242978063976162, 41477168810872793493, 1872694395510428040983, 89644070894632864643651, 4531712537608857605836563
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OFFSET
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1,2
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LINKS
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Peter J. Taylor, Table of n, a(n) for n = 1..100
Wikipedia, Symmetric Polynomials
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FORMULA
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Main diagonal of triangle A209669.
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MATHEMATICA
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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}]
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CROSSREFS
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Cf. A209664-A209673.
Sequence in context: A092649 A179923 A190628 * A173796 A161565 A235345
Adjacent sequences: A209668 A209669 A209670 * A209672 A209673 A209674
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KEYWORD
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nonn
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AUTHOR
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Wouter Meeussen, Mar 11 2012
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EXTENSIONS
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More terms from Peter J. Taylor, Mar 02 2017
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STATUS
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approved
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