cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A328569 Exponent of least prime factor in A276086(A276086(n)), where A276086 converts the primorial base expansion of n into its prime product form.

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%I A328569 #15 Oct 20 2019 21:46:28
%S A328569 1,1,1,1,1,3,1,2,1,1,1,3,1,1,1,5,1,1,1,2,1,4,1,5,1,1,1,6,1,4,1,1,1,2,
%T A328569 1,1,1,2,1,1,1,3,1,1,1,5,1,4,1,2,1,3,1,9,1,1,1,4,1,1,1,1,1,4,1,2,1,2,
%U A328569 1,7,1,10,1,1,1,2,1,6,1,2,1,10,1,8,1,1,1,6,1,7,1,1,1,3,1,4,1,2,1,5,1,4,1,1,1,3
%N A328569 Exponent of least prime factor in A276086(A276086(n)), where A276086 converts the primorial base expansion of n into its prime product form.
%C A328569 Equally, the least significant nonzero digit in primorial base expansion of A276086(n).
%H A328569 Antti Karttunen, <a href="/A328569/b328569.txt">Table of n, a(n) for n = 0..32768</a>
%H A328569 <a href="/index/Pri#primorialbase">Index entries for sequences related to primorial base</a>
%F A328569 a(n) = A276088(A276086(n)) = A067029(A276087(n)).
%F A328569 max(a(n),1+A051903(A328400(A003557(A276086(A328476(n)))))) = A328389(n). [A328400 is optional in the formula]
%F A328569 For all even n, a(n) < A328579(n).
%o A328569 (PARI)
%o A328569 A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
%o A328569 A276088(n) = { my(e=0, p=2); while(n && !(e=(n%p)), n = n/p; p = nextprime(1+p)); (e); };
%o A328569 A328569(n) = A276088(A276086(n));
%Y A328569 Cf. A003557, A051903, A067029, A276086, A276087, A276088, A328389, A328400, A328476, A328570, A328579.
%K A328569 nonn
%O A328569 0,6
%A A328569 _Antti Karttunen_, Oct 20 2019