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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 (list; graph; refs; listen; history; text; internal format)
 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 A182159 Adjacent sequences:  A345071 A345072 A345073 * A345075 A345076 A345077 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

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Last modified December 6 13:45 EST 2021. Contains 349563 sequences. (Running on oeis4.)