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A355945 a(n) = n minus the smallest positive k such that n divides k*A276086(k), where A276086 is primorial base exp-function.

%I A355945 #10 Jul 28 2022 15:15:26
%S A355945 0,1,1,0,0,4,0,0,6,5,0,8,0,7,10,0,0,15,0,12,7,11,0,16,15,13,18,0,0,25,
%T A355945 0,0,22,17,28,32,0,19,13,32,0,28,0,0,40,23,0,32,14,40,34,0,0,45,44,24,
%U A355945 19,29,0,52,0,31,42,0,52,55,0,0,46,63,0,56,0,37,65,0,44,52,0,64,54,41,0,56,68,43,58,0,0,85,52
%N A355945 a(n) = n minus the smallest positive k such that n divides k*A276086(k), where A276086 is primorial base exp-function.
%H A355945 Antti Karttunen, <a href="/A355945/b355945.txt">Table of n, a(n) for n = 1..65537</a>
%H A355945 <a href="/index/Pri#primorialbase">Index entries for sequences related to primorial base</a>
%F A355945 a(n) = n - A355944(n).
%o A355945 (PARI)
%o A355945 A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
%o A355945 A355945(n) = for(k=1, oo, if((k*A276086(k))%n==0, return(n-k)));
%Y A355945 Cf. A276086, A324580, A355944, A356151, A356160 (positions of zeros), A356161.
%K A355945 nonn
%O A355945 1,6
%A A355945 _Antti Karttunen_, Jul 27 2022