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Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!) A373976 a(n) = A001222(n) - A001222(A001414(n)), where A001222 is bigomega, the number of prime factors with multiplicity, and A001414 is sopfr, sum of prime factors with multiplicity. a(1) = 0 by convention. 2 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, -1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 3, 0, 1, -1, 2, 0, 0, -2, 3, 0, 0, 0, 1, 2, 0, 0, 4, 0, 0, -1, 2, 0, 3, -2, 3, 0, 1, 0, 1, 0, 0, 2, 3, -1, -1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, -1, 0, 0, 4, 1, 1, 0, 2, 0, -1, -3, 3, 0, 3, -1, 0, 0, 0, -2, 5, 0, -1, 2, 2, 0 (list; graph; refs; listen; history; text; internal format) OFFSET 1,12 LINKS Antti Karttunen, Table of n, a(n) for n = 1..65537 FORMULA a(n) = A001222(n) - A342956(n). PROG (PARI) A001414(n) = ((n=factor(n))[, 1]~*n[, 2]); \\ From A001414. A373976(n) = if(1==n, 0, bigomega(n)-bigomega(A001414(n))); CROSSREFS Cf. A001222, A001414, A342956. Cf. also A045835. Sequence in context: A112609 A134363 A054015 * A369164 A370815 A056137 Adjacent sequences: A373973 A373974 A373975 * A373977 A373978 A373979 KEYWORD sign AUTHOR Antti Karttunen, Jun 24 2024 STATUS approved

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Last modified August 18 19:26 EDT 2024. Contains 375273 sequences. (Running on oeis4.)