A368917 - OEIS

%I #17 Jan 14 2024 17:28:04

%S 1,2,3,4,5,6,7,9,10,11,12,13,14,15,17,18,19,20,21,22,23,25,26,27,28,

%T 29,30,31,32,33,34,35,37,38,39,40,41,42,43,45,46,47,48,49,50,51,53,54,

%U 55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,73,74,75,76,77,78,79,81,82,83,84,85,86,87,89,90,91,93

%N Numbers k for which there is no prime p such that p^p divides the arithmetic derivative of A276086(k), where A276086 is the primorial base exp-function.

%C Numbers k such that A327860(k) [or equally, A342002(k)] is in A048103.

%H Antti Karttunen, <a href="/A368917/b368917.txt">Table of n, a(n) for n = 1..20000</a>

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

%F For n >= 1, A368918(a(n)) = n.

%o (PARI) \\ See A368916.

%Y Complement of A342018.

%Y Cf. A003415, A048103, A276086, A341996, A327860, A342002, A342019, A359550, A368915, A368916 (characteristic function), A368918 (its partial sums).

%Y Cf. A328116 (subsequence, after its initial zero).

%K nonn

%O 1,2

%A _Antti Karttunen_, Jan 09 2024