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A366887 Sum of the odd squarefree divisors permuted by A163511.

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%I A366887 #6 Nov 04 2023 14:00:41
%S A366887 1,1,1,4,1,4,4,6,1,4,4,6,4,24,6,8,1,4,4,6,4,24,6,8,4,24,24,48,6,32,8,
%T A366887 12,1,4,4,6,4,24,6,8,4,24,24,48,6,32,8,12,4,24,24,48,24,192,48,96,6,
%U A366887 32,32,72,8,48,12,14,1,4,4,6,4,24,6,8,4,24,24,48,6,32,8,12,4,24,24,48,24,192,48,96,6,32,32,72,8
%N A366887 Sum of the odd squarefree divisors permuted by A163511.
%H A366887 Antti Karttunen, <a href="/A366887/b366887.txt">Table of n, a(n) for n = 0..16384</a>
%F A366887 a(n) = A206787(A163511(n)).
%o A366887 (PARI)
%o A366887 A163511(n) = if(!n, 1, my(p=2, t=1); while(n>1, if(!(n%2), (t*=p), p=nextprime(1+p)); n >>= 1); (t*p));
%o A366887 A206787(n) = sumdiv(n, d, d*issquarefree(2*d));
%o A366887 A366887(n) = A206787(A163511(n));
%Y A366887 Cf. A163511, A206787, A366888 (rgs-transform).
%K A366887 nonn
%O A366887 0,4
%A A366887 _Antti Karttunen_, Nov 04 2023