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A366528
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Sum of odd prime indices of n.
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24
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0, 1, 0, 2, 3, 1, 0, 3, 0, 4, 5, 2, 0, 1, 3, 4, 7, 1, 0, 5, 0, 6, 9, 3, 6, 1, 0, 2, 0, 4, 11, 5, 5, 8, 3, 2, 0, 1, 0, 6, 13, 1, 0, 7, 3, 10, 15, 4, 0, 7, 7, 2, 0, 1, 8, 3, 0, 1, 17, 5, 0, 12, 0, 6, 3, 6, 19, 9, 9, 4, 0, 3, 21, 1, 6, 2, 5, 1, 0, 7, 0, 14, 23, 2
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OFFSET
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1,4
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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, sum A056239(n).
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LINKS
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FORMULA
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EXAMPLE
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The prime indices of 198 are {1,2,2,5}, so a(198) = 1+5 = 6.
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MATHEMATICA
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Table[Total[Cases[FactorInteger[n], {p_?(OddQ@*PrimePi), k_}:>PrimePi[p]*k]], {n, 100}]
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CROSSREFS
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The triangle for this rank statistic is A113685, without zeros A365067.
A053253 = partitions with all odd parts and conjugate parts, ranks A352143.
A066967 adds up sums of odd parts over all partitions.
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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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