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A321898
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Sum of coefficients of power sums symmetric functions in h(y) * Product_i y_i! where h is homogeneous symmetric functions and y is the integer partition with Heinz number n.
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1
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1, 1, 2, 1, 6, 2, 24, 1, 4, 6, 120, 2, 720, 24, 12, 1, 5040, 4, 40320, 6, 48, 120, 362880, 2, 36, 720, 8, 24, 3628800, 12, 39916800, 1, 240, 5040, 144, 4, 479001600, 40320, 1440, 6, 6227020800, 48, 87178291200, 120, 24, 362880, 1307674368000, 2, 576, 36, 10080
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OFFSET
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1,3
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COMMENTS
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The Heinz number of an integer partition (y_1, ..., y_k) is prime(y_1) * ... * prime(y_k).
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LINKS
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Table of n, a(n) for n=1..51.
Wikipedia, Symmetric polynomial
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EXAMPLE
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The sum of coefficients of 12h(32) = 2p(32) + 3p(221) + 2p(311) + 4p(2111) + p(11111) is a(15) = 12.
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CROSSREFS
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Row sums of A321897.
Cf. A005651, A008480, A056239, A124794, A124795, A135278, A296150, A319193, A321742-A321765.
Sequence in context: A185330 A217955 A325703 * A284434 A306543 A243484
Adjacent sequences: A321895 A321896 A321897 * A321899 A321900 A321901
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KEYWORD
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nonn
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AUTHOR
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Gus Wiseman, Nov 20 2018
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STATUS
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approved
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