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A345074
a(n) is the largest integer k such that A345073(k) = n.
1
3, 54, 458, 3480, 25867, 191351, 1414204, 10450027, 77216338
OFFSET
2,1
LINKS
David E. Radford, Factorials and powers, a minimality result, arXiv:2106.02002 [math.NT], 2021.
David E. Radford, Factorials and powers, a minimality result, revisited, arXiv:2106.02109 [math.NT], 2021. See p. 10.
PROG
(PARI) f(n) = my(k=1); while (exp(1)*sqrtn(n!, n) >= n+k, k++); k; \\ A345073
lista(nn) = {my(m=2, nm); for (n=2, nn, nm = f(n); if (nm > m, m = nm; print1(n-1, ", ")); ); }
CROSSREFS
Cf. A001113 (e), A345073.
Sequence in context: A275566 A068380 A174782 * A119294 A157541 A374522
KEYWORD
nonn,hard,more
AUTHOR
Michel Marcus, Jun 07 2021
EXTENSIONS
Offset changed to 2 and a(8)-a(10) from Jinyuan Wang, Jun 13 2021
STATUS
approved