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A357984
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Replace prime(k) with A000720(k) in the prime factorization of n.
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1
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1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 3, 0, 3, 0, 2, 0, 4, 0, 4, 0, 2, 0, 4, 0, 4, 0, 1, 0, 4, 0, 5, 0, 3, 0, 4, 0, 5, 0, 3, 0, 6, 0, 6, 0, 2, 0, 6, 0, 4, 0, 4, 0, 6, 0, 6, 0, 4, 0, 7, 0, 7, 0, 2, 0, 6, 0, 8, 0, 4, 0, 8, 0, 8, 0, 4, 0, 6, 0, 8, 0, 1, 0, 9, 0, 8, 0, 4
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OFFSET
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1,5
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LINKS
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EXAMPLE
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We have 91 = prime(4) * prime(6), so a(91) = pi(4) * pi(6) = 6.
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MATHEMATICA
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primeMS[n_]:=If[n==1, {}, Flatten[Cases[FactorInteger[n], {p_, k_}:>Table[PrimePi[p], {k}]]]];
Table[Times@@PrimePi/@primeMS[n], {n, 100}]
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CROSSREFS
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The version for bigomega is A355742.
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KEYWORD
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nonn,mult
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AUTHOR
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STATUS
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approved
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