A369244 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.

0, 14, 74, 198, 10295, 65174, 40354813, 20485574, 680909375411, 0, 17866904665985941, 318745032938881

Offset

1,2

Comments

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

Links

Table of n, a(n) for n=1..12.

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

Formula

a(n) >= A369243(n).

Crossrefs

Cf. A003415, A143293, A369243.

Cf. also A368704.

Sequence in context: A328735 A279447 A205590 * A213284 A232377 A146563

Adjacent sequences: A369241 A369242 A369243 * A369245 A369246 A369247

Keyword

nonn,hard,more

Author

Antti Karttunen, Jan 19 2024

Status

approved