%I #8 Jan 31 2024 16:55:59
%S 0,0,1,1,32,1,1,37712,381596,9835475,36880858,5221912091,149759057759,
%T 186024798,456607833524310,655374897748042,32188411533060,
%U 3002590335363139484,1,1,1489192548103758778136571,905624730150525686386253700,1,110832638787270947169636975150,331748330219014906068858,349669183443106226663011852002384
%N The second arithmetic derivative of primorial numbers.
%C See comments in A024451.
%H Antti Karttunen, <a href="/A369651/b369651.txt">Table of n, a(n) for n = 0..49</a>
%F a(n) = A003415(A024451(n)) = A068346(A002110(n)).
%o (PARI)
%o A002110(n) = prod(i=1,n,prime(i));
%o A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));
%o A369651(n) = A003415(A003415(A002110(n)));
%Y Cf. A002110, A003415, A024451, A068346, A109628 (positions of 1's).
%Y Cf. also A368702.
%K nonn
%O 0,5
%A _Antti Karttunen_, Jan 31 2024