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A328575 a(n) = A003557(A032742(A276086(n))). 3

%I #9 Oct 20 2019 21:46:03

%S 1,1,1,1,1,3,1,1,1,1,1,3,1,5,5,5,5,15,5,25,25,25,25,75,25,125,125,125,

%T 125,375,1,1,1,1,1,3,1,1,1,1,1,3,1,5,5,5,5,15,5,25,25,25,25,75,25,125,

%U 125,125,125,375,1,7,7,7,7,21,7,7,7,7,7,21,7,35,35,35,35,105,35,175,175,175,175,525,175,875,875,875,875,2625,7

%N a(n) = A003557(A032742(A276086(n))).

%H Antti Karttunen, <a href="/A328575/b328575.txt">Table of n, a(n) for n = 0..2310</a>

%H Antti Karttunen, <a href="/A328575/a328575.txt">Data supplement: n, a(n) computed for n = 0..32768</a>

%H <a href="/index/Pri#primorialbase">Index entries for sequences related to primorial base</a>

%F a(n) = A003557(A032742(A276086(n))).

%F For n >= 1, a(n) = A003557(A276086(A276151(n))).

%F For n >= 1, max(A276088(n),1+A051903(a(n))) = A328114(n).

%o (PARI)

%o A003557(n) = { my(f=factor(n)); for (i=1, #f~, f[i, 2] = f[i, 2]-1); factorback(f); }; \\ From A003557

%o A032742(n) = if(1==n,n,n/vecmin(factor(n)[,1]));

%o A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };

%o A328575(n) = A003557(A032742(A276086(n)));

%Y Cf. A003557, A032742, A051903, A276086, A276088, A328114, A328572, A328576.

%K nonn

%O 0,6

%A _Antti Karttunen_, Oct 20 2019

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Last modified September 15 10:23 EDT 2024. Contains 375932 sequences. (Running on oeis4.)