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A325226
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Number of prime factors of n that are less than the largest, counted with multiplicity.
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5
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0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 3, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 3, 0, 2, 0, 2, 2, 1, 0, 4, 0, 1, 1, 2, 0, 1, 1, 3, 1, 1, 0, 3, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 3, 0, 1, 1, 2, 1, 2, 0, 4, 0, 1, 0, 3, 1, 1, 1, 3, 0, 3, 1, 2, 1, 1, 1, 5, 0, 1, 2, 2, 0, 2, 0, 3, 2
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OFFSET
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1,12
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LINKS
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FORMULA
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EXAMPLE
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The prime factors of 300 are {2,2,3,5,5} of which {2,2,3} are less than the largest, so a(300) = 3.
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MATHEMATICA
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Table[PrimeOmega[n/Power@@FactorInteger[n][[-1]]], {n, 100}]
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PROG
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(PARI)
A071178(n) = if(1==n, 0, factor(n)[omega(n), 2]);
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CROSSREFS
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Cf. A000094, A000245, A001222, A052126, A053585, A061395, A062977, A064989, A071178, A105441, A108951, A256617.
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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