A102382 a(n) = A001221(A004094(n)).
0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 3, 2, 1, 4, 3, 4, 4, 4, 3, 1, 4, 4, 5, 2, 2, 2, 3, 3, 3, 2, 2, 3, 1, 2, 5, 4, 4, 3, 4, 4, 1, 4, 2, 4, 4, 3, 3, 3, 4, 2, 1, 3, 3, 4, 6, 5, 2, 4, 4, 4, 2, 3, 5, 5, 3, 1, 6, 4, 3, 4, 6, 3, 1, 4, 4, 4, 5, 4, 4, 3, 2, 2, 3, 3, 3, 6, 3, 4, 4, 3, 4, 4, 4, 3, 8, 3, 4, 5, 3, 4
Offset: 0
Examples
n = 19: reverse(2^19) = 882425 = 5^2*47*751, so a(19) = 3. n = 38: reverse(2^38) = 449609778472 = 2^3*56201222309, so a(38) = 2. - _Sean A. Irvine_, Sep 26 2023
Programs
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Mathematica
a[n_] := PrimeNu[IntegerReverse[2^n]]; Array[a, 100, 0] (* Amiram Eldar, Oct 02 2024 *)
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PARI
a(n) = omega(fromdigits(Vecrev(digits(2^n)))); \\ Amiram Eldar, Oct 02 2024
Extensions
a(38) corrected by Sean A. Irvine, Sep 26 2023