A369243 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.

2, 0, 14, 45, 198, 5114, 65174, 1086194, 20485574, 465779078, 0, 293420849770, 318745032938881

Offset: 0

Author

Antti Karttunen, Jan 19 2024

Keywords

• nonn
• hard
• more

Comments

a(n) = the smallest integer k for which A003415(k) = A143293(n), and 0 if no such k exists.

Examples

			a(0) = 2 as the least number k such that A003415(k) = A143293(0) = 1 is 2.
a(1) = 0 as there is no number k such that A003415(k) = A143293(1) = 3.
		

Links

• Antti Karttunen, PARI program for computing terms of this and related sequences.

Crossrefs

Cf. A003415, A143293, A369244.

Cf also A368703.

Formula

a(n) <= A369244(n).