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 A317934 Multiplicative with a(p^n) = 2^A011371(n); denominators for certain "Dirichlet Square Roots" sequences. 12
 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 8, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 8, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 8, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 16, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 1, 1, 1, 8, 8, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 8, 1, 2, 2, 4, 1, 1, 1, 2, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS a(n) is the denominator of certain rational valued sequences f(n), that have been defined as f(n) = (1/2) * (b(n) - Sum_{d|n, d>1, d1, d 1, where b is A034444, A037445 or A046644 for example. PROG (PARI) A011371(n) = (n - hammingweight(n)); A317934(n) = factorback(apply(e -> 2^A011371(e), factor(n)[, 2])); CROSSREFS Cf. A011371, A034444, A317940, A317941, A317946. Cf. A317933, A317940, A317941 (numerator-sequences). Cf. also A046644, A299150, A299152, A317832, A317932, A317926 (for denominator sequences of other similar constructions). Sequence in context: A255231 A294874 A318324 * A279848 A001826 A003641 Adjacent sequences:  A317931 A317932 A317933 * A317935 A317936 A317937 KEYWORD nonn,frac,mult AUTHOR Antti Karttunen, Aug 12 2018 STATUS approved

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Last modified August 3 01:53 EDT 2021. Contains 346429 sequences. (Running on oeis4.)