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A327485
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Product of means of integer partitions with Heinz numbers from 2 to n.
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1
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1, 2, 2, 6, 9, 36, 36, 72, 144, 720, 960, 5760, 14400, 36000, 36000, 252000, 420000, 3360000, 5600000, 16800000, 50400000, 453600000, 567000000, 1701000000, 5953500000, 11907000000, 23814000000, 238140000000, 476280000000, 5239080000000, 5239080000000
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OFFSET
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2,2
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COMMENTS
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A prime index of n is a number m such that prime(m) divides n. The multiset of prime indices of n is row n of A112798.
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LINKS
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FORMULA
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EXAMPLE
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We have a(7) = 1 * 2 * 1 * 3 * 3/2 * 4 = 36.
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MATHEMATICA
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Table[Product[Total[Cases[FactorInteger[k], {p_, k_}:>k*PrimePi[p]]]/PrimeOmega[k], {k, 2, n}], {n, 2, 30}]
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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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