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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. 6
 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 December 10 20:55 EST 2018. Contains 318049 sequences. (Running on oeis4.)