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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.
5
0, 14, 74, 198, 10295, 65174, 40354813, 20485574, 680909375411, 0, 17866904665985941, 318745032938881, 1059829063639229651477
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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..13.
Antti Karttunen, PARI program for computing terms of this and related sequences.
FORMULA
a(n) >= A369243(n).
a(n) = A369240(n,A369239(n)) when A369239(n) > 0; otherwise a(n) = 0. - Max Alekseyev, Sep 17 2025
CROSSREFS
Cf. A003415, A143293, A369239, A369240, A369243, 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
EXTENSIONS
a(13) from Max Alekseyev, Sep 17 2025
STATUS
approved

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Last modified May 21 09:55 EDT 2026. Contains 395788 sequences.
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