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 A336921 a(n) = A331410(n) - A087436(n). 6
 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 3, 1, 0, 0, 1, 2, 1, 0, 3, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 3, 0, 2, 0, 2, 3, 3, 1, 1, 0, 0, 0, 2, 1, 3, 2, 1, 1, 2, 0, 4, 3, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 3, 2, 3, 1, 4, 1, 1, 1, 0, 1, 3, 0, 2, 0, 1, 2, 4, 2, 2, 1, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,17 COMMENTS Totally additive because both A087436 and A331410 are. LINKS Antti Karttunen, Table of n, a(n) for n = 1..65537 FORMULA a(n) = A331410(A336467(n)). a(n) = A331410(n) - A087436(n). a(n) = A336922(n) - A046660(A000265(n)). For all n >= 1, a(n) <= A336118(n). PROG (PARI) A000265(n) = (n>>valuation(n, 2)); A331410(n) = if(!bitand(n, n-1), 0, 1+A331410(n+(n/vecmax(factor(n)[, 1])))); A336467(n) = { my(f=factor(n)); prod(k=1, #f~, if(2==f[k, 1], 1, (A000265(f[k, 1]+1))^f[k, 2])); }; A336921(n) = A331410(A336467(n)); CROSSREFS Cf. A000265, A046660, A087436, A331410, A336467, A336922. Cf. also A336118, A336396. Sequence in context: A118682 A198393 A083054 * A297742 A061264 A193680 Adjacent sequences:  A336918 A336919 A336920 * A336922 A336923 A336924 KEYWORD nonn AUTHOR Antti Karttunen, Aug 09 2020 STATUS approved

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Last modified April 20 06:59 EDT 2021. Contains 343125 sequences. (Running on oeis4.)