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 A369967 a(n) = 1 if the arithmetic derivative of n is a multiple of 5, otherwise 0. 2
 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0 COMMENTS Question: Is the asymptotic mean of this sequence 1/5? See also conjecture in A369968. LINKS Antti Karttunen, Table of n, a(n) for n = 0..100000 Index entries for characteristic functions FORMULA a(n) >= A369968(n). PROG (PARI) A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1])); A369967(n) = (0==(A003415(n)%5)); CROSSREFS Characteristic function of A327865. Cf. A003415, A369968. Cf. also A358680, A359430, A353494, A370118, for cases k = 2, 3, 4, 9 of characteristic functions for numbers whose arithmetic derivative is multiple of k. Sequence in context: A016338 A266253 A113052 * A256432 A218171 A362130 Adjacent sequences: A369964 A369965 A369966 * A369968 A369969 A369970 KEYWORD nonn,changed AUTHOR _Antti Karttunen_, Feb 10 2024 STATUS approved

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Last modified June 17 05:38 EDT 2024. Contains 373432 sequences. (Running on oeis4.)