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A338437
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a(n) = n! * [x^n] Product_{k=1..n, gcd(n,k) = 1} 1 / (1 - x^k/k).
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1
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1, 1, 2, 9, 32, 300, 864, 17612, 74752, 1152792, 6470400, 220057992, 719622144, 40754156352, 192835098624, 4787867880000, 55181218873344, 3071730630989952, 11004144881762304, 1179255538492239744, 5720352215040000000, 253837962769406045184, 3262870639485701849088
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OFFSET
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0,3
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LINKS
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MATHEMATICA
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Table[n! SeriesCoefficient[Product[1/(1 - Boole[GCD[n, k] == 1] x^k/k), {k, 1, n}], {x, 0, n}], {n, 0, 22}]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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