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A339810 a(n) = A046523(A019565(n) - 1). 4

%I

%S 1,2,2,4,4,6,2,6,2,12,2,6,6,24,6,6,6,32,6,24,2,12,6,12,12,30,2,384,2,

%T 6,2,12,4,6,6,64,6,6,2,60,2,48,6,6,12,60,2,6,30,12,2,210,2,96,2,216,

%U 30,30,6,180,2,6,2,16,6,12,2,60,4,6,2,6,6,12,6,120,6,24,6,30,2,240,6,6,30,12,6,60,2,30,2,48

%N a(n) = A046523(A019565(n) - 1).

%H Antti Karttunen, <a href="/A339810/b339810.txt">Table of n, a(n) for n = 1..8192</a>

%F a(n) = A046523(A339809(n)) = A046523(A019565(n) - 1).

%o (PARI)

%o A019565(n) = { my(m=1, p=1); while(n>0, p = nextprime(1+p); if(n%2, m *= p); n >>= 1); (m); };

%o A046523(n) = { my(f=vecsort(factor(n)[, 2], , 4), p); prod(i=1, #f, (p=nextprime(p+1))^f[i]); }; \\ From A046523

%o A339810(n) = A046523(A019565(n)-1);

%Y Cf. A019565, A046523, A339809, A339811 (rgs-transform), A339812.

%K nonn

%O 1,2

%A _Antti Karttunen_, Dec 18 2020

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Last modified June 15 08:14 EDT 2021. Contains 345048 sequences. (Running on oeis4.)