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A322838 Number of positive integers less than n with more prime factors than n, counted with multiplicity. 5
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

Table of n, a(n) for n=1..76.

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 August 22 06:01 EDT 2019. Contains 326172 sequences. (Running on oeis4.)