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 A322838 Number of positive integers less than n with more prime factors than n, counted with multiplicity. 6
 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,7 LINKS EXAMPLE 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 MATHEMATICA Table[Length[Select[Range[n], PrimeOmega[#]>PrimeOmega[n]&]], {n, 100}] CROSSREFS Positions of zeros appear to be A029744. Cf. A000010, A000961, A001221, A001222, A045920, A058933, A061142, A067003, A302242, A322839, A322841. Sequence in context: A077762 A244677 A243986 * A085496 A228748 A225094 Adjacent sequences:  A322835 A322836 A322837 * A322839 A322840 A322841 KEYWORD nonn AUTHOR Gus Wiseman, Dec 28 2018 STATUS approved

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Last modified January 16 10:52 EST 2021. Contains 340206 sequences. (Running on oeis4.)