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 A358680 a(n) = 1 if the arithmetic derivative of n is even, 0 otherwise. 19
 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0 LINKS Antti Karttunen, Table of n, a(n) for n = 0..100000 Index entries for characteristic functions FORMULA a(n) = A059841(A003415(n)). a(n) = 1 - A165560(n). For n >= 1, a(n) = A121262(n) + A353557(n) = A353494(n) + A353495(n). PROG (PARI) A358680(n) = if(n<=1, 1, my(f=factor(n)); 0==((n*sum(i=1, #f~, f[i, 2]/f[i, 1]))%2)); CROSSREFS Characteristic function of A235992. One's complement of A165560. Cf. A003415, A059841, A121262, A353494, A353495, A353557. Sequence in context: A095901 A374036 A087049 * A186447 A118009 A113429 Adjacent sequences: A358677 A358678 A358679 * A358681 A358682 A358683 KEYWORD nonn AUTHOR Antti Karttunen, Dec 07 2022 STATUS approved

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Last modified September 7 05:42 EDT 2024. Contains 375729 sequences. (Running on oeis4.)