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 A340362 a(n) = A005940(n) - A324106(n), where A324106(n) is multiplicative with a(p^e) = A005940(p^e). 3
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, -32, 0, -12, 0, 0, 0, -12, 0, 0, 16, 0, 0, 140, 0, 0, 0, 0, 0, 114, 0, 0, 0, 150, 0, 280, 0, 0, 48, 0, 0, 180, 0, -108, -64, 0, 0, -70, -24, 0, 0, 0, 0, 18, 0, 140, -24, 0, 0, 0, 0, 0, 32, 330, 0, -60, 0, 0, 280, 300, 0, 632, 0, 300 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,15 COMMENTS It is conjectured that A070776 gives the positions of all zeros after the initial a(1) = 0. If that holds, then for all i, j: a(i) = a(j) => A340363(i) = A340363(j). LINKS Antti Karttunen, Table of n, a(n) for n = 1..16384 PROG (PARI) A005940(n) = { my(p=2, t=1); n--; until(!n\=2, if((n%2), (t*=p), p=nextprime(p+1))); t }; \\ From A005940 A324106(n) = { my(f=factor(n)); prod(i=1, #f~, A005940(f[i, 1]^f[i, 2])); }; A340362(n) = (A005940(n)-A324106(n)); CROSSREFS Cf. A005940, A070776, A340364, A340365, A340366. Cf. also A305800, A340363. Sequence in context: A308425 A063863 A236238 * A187795 A101364 A216809 Adjacent sequences: A340359 A340360 A340361 * A340363 A340364 A340365 KEYWORD sign AUTHOR Antti Karttunen, Jan 06 2021 STATUS approved

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Last modified March 31 18:36 EDT 2023. Contains 361672 sequences. (Running on oeis4.)