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 A341524 Number of prime factors in A017666(n), counted with multiplicity: a(n) = bigomega(n) - bigomega(gcd(n, sigma(n)). 5
 0, 1, 1, 2, 1, 0, 1, 3, 2, 1, 1, 1, 1, 1, 1, 4, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 3, 0, 1, 1, 1, 5, 1, 1, 2, 4, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 3, 2, 3, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 3, 6, 2, 1, 1, 2, 1, 2, 1, 4, 1, 1, 3, 1, 2, 1, 1, 4, 4, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 3, 1, 3, 2, 4, 1, 1, 1, 3, 2, 1, 1, 3, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 LINKS Antti Karttunen, Table of n, a(n) for n = 1..65537 FORMULA a(n) = A001222(A017666(n)). a(n) = A001222(n) - A341523(n). MATHEMATICA Table[PrimeOmega[n] - PrimeOmega[GCD[n, DivisorSigma[1, n]]], {n, 1, 100}] (* Amiram Eldar, Feb 17 2021 *) PROG (PARI) A341524(n) = (bigomega(n) - bigomega(gcd(n, sigma(n)))); CROSSREFS Cf. A001222, A009194, A017666, A341523. Cf. A007691 (positions of zeros). Cf. A341608 (applied onto prime shift array A246278). Sequence in context: A343138 A119270 A267109 * A175804 A241063 A340251 Adjacent sequences:  A341521 A341522 A341523 * A341525 A341526 A341527 KEYWORD nonn AUTHOR Antti Karttunen, Feb 17 2021 STATUS approved

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Last modified July 24 01:41 EDT 2021. Contains 346269 sequences. (Running on oeis4.)