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A209673
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a(n) = count of monomials, of degree k=n, in the Schur symmetric polynomials s(mu,k) summed over all partitions mu of n.
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12
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1, 1, 4, 19, 116, 751, 5552, 43219, 366088, 3245311, 30569012, 299662672, 3079276708, 32773002718, 362512238272, 4136737592323, 48773665308176, 591313968267151, 7375591544495636, 94340754464144215, 1237506718985945656, 16608519982801477908, 228013066931927465872
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OFFSET
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0,3
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COMMENTS
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a(n) is also the number of semistandard Young tableaux of size and maximal entry n. - Christian Stump, Oct 09 2015
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LINKS
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MATHEMATICA
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Tr /@ Table[(stanley[#, l] & /@ Partitions[l]), {l, 11}]
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CROSSREFS
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Cf. A191714, A209664, A209665, A209666, A209667, A209668, A209669, A209670, A209671, A209672, A209673.
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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