cp's OEIS Frontend

A328836 Numbers k such that A276086(k) is a sum of distinct primorial numbers.

%I A328836 #23 Jul 02 2021 01:56:03
%S A328836 0,1,2,3,4,9,30,39,212,249,421,2312,2559,30045,32589,510511,512820,
%T A328836 543099,1021050,9729723,10242789,233335659,446185742
%N A328836 Numbers k such that A276086(k) is a sum of distinct primorial numbers.
%C A328836 Numbers k such that A276086(k) is in A276156, i.e., numbers k for which A328828(A276086(k)) is zero, i.e., numbers k such that in the primorial base expansion of A276086(k) there are no digits larger than 1.
%C A328836 Numbers k for which A276087(k) is squarefree.
%C A328836 No more terms below 2^31.
%H A328836 <a href="/index/Pri#primorialbase">Index entries for sequences related to primorial base</a>
%o A328836 (PARI)
%o A328836 A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
%o A328836 A328828(n) = { my(i=1, p=2); while(n, if((n%p)>1, return(i)); i++; n = n\p; p = nextprime(1+p)); (0); };
%o A328836 isA328836(n) = !A328828(A276086(n));
%Y A328836 Sequence A328833 sorted into ascending order.
%Y A328836 Cf. A008966, A276086, A276087, A276156, A328828, A328832, A328833.
%Y A328836 Positions of zeros in A328829 and in A328844, positions of ones in A328389.
%Y A328836 Cf. A143293 (a subsequence).
%Y A328836 All the terms of A328313 are included in this sequence, like also in A328837.
%K A328836 nonn,hard,more
%O A328836 1,3
%A A328836 _Antti Karttunen_, Oct 29 2019