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A372192
a(n) = A010846(n) - A373738(n).
2
0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 6, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 6, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 7, 0, 1, 1, 0, 1, 7, 0, 2, 1, 7, 0, 1, 0, 2, 0, 2, 1, 7, 0, 1, 0, 1, 0, 8, 1, 1, 2
OFFSET
1,30
LINKS
Michael De Vlieger, Log log scatterplot of a(n), n = 6..2^20, ignoring a(n) = 0, with a color code where red indicates omega(n) = 2, gold omega(n) = 3, lime green = omega(n) = 4, spring green = omega(n) = 5, and blue = omega(n) = 6, where omega = A001221.
MATHEMATICA
{0}~Join~Table[Count[Range[n], _?(Divisible[n, Times @@ FactorInteger[#][[All, 1]]] &)] - Floor[(1/PrimeNu[n]!)*Times @@ Map[Log[#, n] + 1 &, FactorInteger[n][[All, 1]]]], {n, 2, 120}]
CROSSREFS
Sequence in context: A324878 A324398 A171916 * A372047 A325740 A222118
KEYWORD
nonn
AUTHOR
Michael De Vlieger, Aug 06 2024
STATUS
approved