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 A136565 a(n) = sum of the distinct values making up the exponents in the prime-factorization of n. 8
 0, 1, 1, 2, 1, 1, 1, 3, 2, 1, 1, 3, 1, 1, 1, 4, 1, 3, 1, 3, 1, 1, 1, 4, 2, 1, 3, 3, 1, 1, 1, 5, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 1, 3, 3, 1, 1, 5, 2, 3, 1, 3, 1, 4, 1, 4, 1, 1, 1, 3, 1, 1, 3, 6, 1, 1, 1, 3, 1, 1, 1, 5, 1, 1, 3, 3, 1, 1, 1, 5, 4, 1, 1, 3, 1, 1, 1, 4, 1, 3, 1, 3, 1, 1, 1, 6, 1, 3, 3, 2, 1, 1, 1, 4, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS a(n) = A088529(n) = A181591(n) for n: 2 <= n < 24. - Reinhard Zumkeller, Nov 01 2010 LINKS Antti Karttunen, Table of n, a(n) for n = 1..65537 (terms 1..1000 from Diana Mecum) Index entries for sequences computed from exponents in factorization of n FORMULA a(n) = A066328(A181819(n)). - Antti Karttunen, Sep 06 2018 EXAMPLE 120 = 2^3 * 3^1 * 5^1. The exponents of the prime factorization are therefore 3,1,1. The distinct values which equal these exponents are 1 and 3. So a(120) = 1+3 = 4. MATHEMATICA Join[{0}, Table[Total[Union[Transpose[FactorInteger[n]][[2]]]], {n, 2, 110}]] (* Harvey P. Dale, Jun 23 2013 *) PROG (PARI) A136565(n) = vecsum(apply(primepi, factor(factorback(apply(e->prime(e), (factor(n)[, 2]))))[, 1])); \\ Antti Karttunen, Sep 06 2018 CROSSREFS Cf. A066328, A071625, A136566, A136568, A181819. Sequence in context: A292777 A088529 A267116 * A181591 A347442 A336424 Adjacent sequences: A136562 A136563 A136564 * A136566 A136567 A136568 KEYWORD nonn AUTHOR Leroy Quet, Jan 07 2008 EXTENSIONS More terms from Diana L. Mecum, Jul 17 2008 STATUS approved

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Last modified September 12 07:57 EDT 2024. Contains 375850 sequences. (Running on oeis4.)