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 A334200 Fully additive with a(n) = n-1 for n <= 3, and a(p) = 1 + a(A048673(p)) when p is prime > 3 and a(n*m) = a(n) + a(m) when m,n > 1. 4
 0, 1, 2, 2, 3, 3, 4, 3, 4, 4, 5, 4, 5, 5, 5, 4, 5, 5, 5, 5, 6, 6, 6, 5, 6, 6, 6, 6, 5, 6, 6, 5, 7, 6, 7, 6, 7, 6, 7, 6, 7, 7, 6, 7, 7, 7, 7, 6, 8, 7, 7, 7, 7, 7, 8, 7, 7, 6, 7, 7, 7, 7, 8, 6, 8, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 7, 9, 8, 8, 7, 8, 8, 8, 8, 8, 7, 7, 8, 9, 8, 9, 8, 8, 8, 8, 7, 8, 9, 9, 8, 8, 8, 8, 8, 9 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS Antti Karttunen, Table of n, a(n) for n = 1..65537 PROG (PARI) A334200(n) = if(n<=3, n-1, if(isprime(n), 1+A334200((1+nextprime(1+n))/2), my(f=factor(n)); (apply(A334200, f[, 1])~ * f[, 2]))); CROSSREFS Cf. A048673, A334199. Cf. also A064097, A334206. Sequence in context: A122953 A259847 A259103 * A128998 A137813 A003313 Adjacent sequences:  A334197 A334198 A334199 * A334201 A334202 A334203 KEYWORD nonn AUTHOR Antti Karttunen, May 13 2020 STATUS approved

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Last modified January 24 13:11 EST 2022. Contains 350538 sequences. (Running on oeis4.)