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a(n) is the greatest integer k whose arithmetic derivative is equal to the n-th partial sum of primorials, and 0 if no such k exists.
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%I #10 Jan 21 2024 18:09:44

%S 0,14,74,198,10295,65174,40354813,20485574,680909375411,0,

%T 17866904665985941,318745032938881

%N a(n) is the greatest 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 largest 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) >= A369243(n).

%Y Cf. A003415, A143293, A369243.

%Y Cf. also A368704.

%K nonn,hard,more

%O 1,2

%A _Antti Karttunen_, Jan 19 2024