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A359424 The least common multiple of the arithmetic derivative and the primorial base exp-function, reduced modulo 60.

%I A359424 #8 Jan 02 2023 21:55:55
%S A359424 0,0,3,6,36,18,5,10,0,30,15,30,40,50,45,0,0,30,45,10,0,30,45,30,20,50,
%T A359424 15,30,0,30,37,14,0,42,57,12,0,10,45,0,0,30,35,50,0,30,15,30,20,10,15,
%U A359424 0,0,30,15,40,0,30,45,30,8,38,57,18,24,42,5,10,0,30,15,30,0,50,15,30,0,30,55,10,0,0,15
%N A359424 The least common multiple of the arithmetic derivative and the primorial base exp-function, reduced modulo 60.
%H A359424 Antti Karttunen, <a href="/A359424/b359424.txt">Table of n, a(n) for n = 0..60060</a>
%H A359424 <a href="/index/Pri#primorialbase">Index entries for sequences related to primorial base</a>
%o A359424 (PARI)
%o A359424 A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));
%o A359424 A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
%o A359424 A359423(n) = lcm(A003415(n), A276086(n));
%o A359424 A359424(n) = (A359423(n)%60);
%Y A359424 Cf. A003415, A276086, A327858, A358669, A359423.
%Y A359424 Cf. A016825 (positions of odd terms), A042965 (of even terms), A327864 (of multiples of 4).
%Y A359424 Cf. also A358765.
%K A359424 nonn,base,look
%O A359424 0,3
%A A359424 _Antti Karttunen_, Jan 02 2023