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Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!) A339893 a(n) = A000523(n) - A001222(n); floor(log_2(n)) minus the number of prime divisors of n, counted with multiplicity. 3 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 3, 1, 3, 1, 2, 2, 3, 0, 2, 2, 1, 1, 3, 1, 3, 0, 3, 3, 3, 1, 4, 3, 3, 1, 4, 2, 4, 2, 2, 3, 4, 0, 3, 2, 3, 2, 4, 1, 3, 1, 3, 3, 4, 1, 4, 3, 2, 0, 4, 3, 5, 3, 4, 3, 5, 1, 5, 4, 3, 3, 4, 3, 5, 1, 2, 4, 5, 2, 4, 4, 4, 2, 5, 2, 4, 3, 4, 4, 4, 0, 5, 3, 3, 2, 5, 3, 5, 2, 3 (list; graph; refs; listen; history; text; internal format) OFFSET 1,11 LINKS Antti Karttunen, Table of n, a(n) for n = 1..65537 FORMULA a(n) = A000523(n) - A001222(n). a(n) = A339895(A122111(n)). PROG (PARI) A339893(n) = (#binary(n) - 1 - bigomega(n)); CROSSREFS Cf. A000523, A001222, A029744 (positions of 0's), A339895. Cf. also A339823, A342657 [= a(A156552(n))]. Sequence in context: A231714 A366445 A354578 * A343606 A112553 A026610 Adjacent sequences: A339890 A339891 A339892 * A339894 A339895 A339896 KEYWORD nonn AUTHOR Antti Karttunen, Dec 21 2020 STATUS approved

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Last modified August 18 19:26 EDT 2024. Contains 375273 sequences. (Running on oeis4.)