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A322838
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Number of positive integers less than n with more prime factors than n, counted with multiplicity.
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6
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0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 5, 0, 6, 2, 2, 0, 9, 1, 10, 1, 5, 5, 13, 0, 6, 6, 2, 2, 18, 2, 19, 0, 10, 10, 10, 1, 24, 11, 11, 1, 27, 5, 28, 5, 5, 15, 31, 0, 16, 6, 17, 6, 36, 2, 19, 2, 20, 20, 41, 2, 42, 21, 9, 0, 23, 10, 47, 10, 25, 10, 50, 1, 51, 27, 11, 11
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OFFSET
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1,7
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LINKS
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EXAMPLE
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Column n lists the a(n) positive integers less than n with more prime factors than n:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
---------------------------------------------------------------------
4 6 8 8 10 12 12 12 16 16 18 16
4 9 10 8 8 15 16
8 9 14 15
6 8 12 14
4 6 10 12
4 9 10
8 9
6 8
4 6
4
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MATHEMATICA
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Table[Length[Select[Range[n], PrimeOmega[#]>PrimeOmega[n]&]], {n, 100}]
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CROSSREFS
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Positions of zeros appear to be A029744.
Cf. A000010, A000961, A001221, A001222, A045920, A058933, A061142, A067003, A302242, A322839, A322841.
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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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