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 A209673 a(n) = count of monomials, of degree k=n, in the Schur symmetric polynomials s(mu,k) summed over all partitions mu of n. 12
 1, 1, 4, 19, 116, 751, 5552, 43219, 366088, 3245311, 30569012, 299662672, 3079276708, 32773002718, 362512238272, 4136737592323, 48773665308176, 591313968267151, 7375591544495636, 94340754464144215, 1237506718985945656, 16608519982801477908, 228013066931927465872 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Main diagonal of triangle A191714. a(n) is also the number of semistandard Young tableaux of size and maximal entry n. - Christian Stump, Oct 09 2015 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..500 Wikipedia, Symmetric Polynomials FindStat - Combinatorial Statistic Finder, Semistandard Young tableaux MATHEMATICA (* see A191714 *) Tr /@ Table[(stanley[#, l] & /@ Partitions[l]), {l, 11}] CROSSREFS Cf. A191714, A209664, A209665, A209666, A209667, A209668, A209669, A209670, A209671, A209672, A209673. Main diagonal of A210391. - Alois P. Heinz, Mar 22 2012 Sequence in context: A013185 A186359 A203268 * A261497 A217989 A281817 Adjacent sequences:  A209670 A209671 A209672 * A209674 A209675 A209676 KEYWORD nonn AUTHOR Wouter Meeussen, Mar 11 2012 EXTENSIONS a(12)-a(22) from Alois P. Heinz, Mar 11 2012 Typo in Mathematica program fixed by Vaclav Kotesovec, Mar 19 2015 STATUS approved

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Last modified April 14 00:42 EDT 2021. Contains 342941 sequences. (Running on oeis4.)