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 A294873 a(n) = Product_{d|n, d>1, d = x^(2k-1) for some maximal k >= 1} prime(k). 5
 1, 2, 2, 2, 2, 8, 2, 6, 2, 8, 2, 16, 2, 8, 8, 6, 2, 16, 2, 16, 8, 8, 2, 96, 2, 8, 6, 16, 2, 128, 2, 30, 8, 8, 8, 32, 2, 8, 8, 96, 2, 128, 2, 16, 16, 8, 2, 192, 2, 16, 8, 16, 2, 96, 8, 96, 8, 8, 2, 1024, 2, 8, 16, 30, 8, 128, 2, 16, 8, 128, 2, 384, 2, 8, 16, 16, 8, 128, 2, 192, 6, 8, 2, 1024, 8, 8, 8, 96, 2, 1024, 8, 16, 8, 8, 8, 1920, 2, 16, 16, 32, 2, 128, 2 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Antti Karttunen, Table of n, a(n) for n = 1..65537 FORMULA a(n) = Product_{d|n, d>1, r = A052409(d) is odd} A000040((r+1)/2). Other identities. For all n >= 1: A001222(a(n)) = A056595(n). A007814(a(n)) = A183096(n). PROG (PARI) A294873(n) = { my(m=1, e); fordiv(n, d, if(d>1, e = ispower(d); if(!e, m += m, if((e>1)&&(e%2), m *= prime((e+1)/2))))); m; }; CROSSREFS Cf. A000040, A056595, A052409, A183096. Cf. A293524, A294874, A294875. Sequence in context: A323741 A168281 A203610 * A058788 A013598 A100943 Adjacent sequences:  A294870 A294871 A294872 * A294874 A294875 A294876 KEYWORD nonn AUTHOR Antti Karttunen, Nov 11 2017 STATUS approved

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Last modified September 20 19:32 EDT 2020. Contains 337265 sequences. (Running on oeis4.)