%I #10 Jan 21 2024 18:09:49
%S 2,0,14,45,198,5114,65174,1086194,20485574,465779078,0,293420849770,
%T 318745032938881
%N a(n) is the least integer k whose arithmetic derivative is equal to the n-th partial sum of primorials, and 0 if no such k exists.
%C a(n) = the smallest integer k for which A003415(k) = A143293(n), and 0 if no such k exists.
%H Antti Karttunen, <a href="/A369239/a369239.txt">PARI program for computing terms of this and related sequences</a>.
%F a(n) <= A369244(n).
%e a(0) = 2 as the least number k such that A003415(k) = A143293(0) = 1 is 2.
%e a(1) = 0 as there is no number k such that A003415(k) = A143293(1) = 3.
%Y Cf. A003415, A143293, A369244.
%Y Cf also A368703.
%K nonn,hard,more
%O 0,1
%A _Antti Karttunen_, Jan 19 2024