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A318312 Multiplicative with a(p^e) = 2^A000041(e). 2

%I #5 Aug 30 2018 08:37:50

%S 1,2,2,4,2,4,2,8,4,4,2,8,2,4,4,32,2,8,2,8,4,4,2,16,4,4,8,8,2,8,2,128,

%T 4,4,4,16,2,4,4,16,2,8,2,8,8,4,2,64,4,8,4,8,2,16,4,16,4,4,2,16,2,4,8,

%U 2048,4,8,2,8,4,8,2,32,2,4,8,8,4,8,2,64,32,4,2,16,4,4,4,16,2,16,4,8,4,4,4,256,2,8,8,16,2,8,2,16,8,4,2,32,2,8,4,64

%N Multiplicative with a(p^e) = 2^A000041(e).

%H Antti Karttunen, <a href="/A318312/b318312.txt">Table of n, a(n) for n = 1..16384</a>

%H <a href="/index/Eu#epf">Index entries for sequences computed from exponents in factorization of n</a>

%F a(n) = 2^A008481(n).

%o (PARI) A318312(n) = factorback(apply(e -> 2^numbpart(e),factor(n)[,2]));

%Y Cf. A000041, A008481.

%Y Differs from A318474 for the first time at n=32, where a(32) = 128, while A318474(32) = 256.

%K nonn,mult

%O 1,2

%A _Antti Karttunen_, Aug 30 2018

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Last modified September 2 17:16 EDT 2024. Contains 375614 sequences. (Running on oeis4.)