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Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!) A358771 a(n) = 1 if the arithmetic derivative of n is of the form 4k+1, otherwise 0. 7 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0 (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) = [A003415(n) == 1 (mod 4)], where [ ] is the Iverson bracket. a(n) = A165560(n) - A358773(n). a(n) >= A010051(n). PROG (PARI) A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1])); A358771(n) = (1==(A003415(n)%4)); CROSSREFS Characteristic function of A358772. Cf. A003415, A010051, A010873, A165560. Cf. also A353494, A353495, A358773 and A358751 [= a(A003961(n))]. Sequence in context: A286807 A126564 A180433 * A165560 A358220 A354874 Adjacent sequences: A358768 A358769 A358770 * A358772 A358773 A358774 KEYWORD nonn AUTHOR Antti Karttunen, Dec 01 2022 STATUS approved

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Last modified August 18 09:22 EDT 2024. Contains 375264 sequences. (Running on oeis4.)