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a(n) is the number of integers, not semiprimes, whose arithmetic derivative is equal to the n-th primorial.
7

%I #10 Jan 18 2024 18:13:10

%S 0,0,0,0,0,0,1,1,0,0,2,9,18

%N a(n) is the number of integers, not semiprimes, whose arithmetic derivative is equal to the n-th primorial.

%C a(n) = number of solutions k to equation A003415(k) = A002110(n) with A001222(k) > 2.

%H Antti Karttunen, <a href="/A369000/a369000.txt">PARI-program</a>

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

%F a(n) = A351029(n) - A116979(n).

%o (PARI) \\ See the attached PARI-program.

%Y Cf. A001222, A002110, A003415, A116979, A351029, A366890 (solutions themselves).

%K nonn,hard,more

%O 1,11

%A _Antti Karttunen_, Jan 16 2024