A345074 a(n) is the largest integer k such that A345073(k) = n.

3, 54, 458, 3480, 25867, 191351, 1414204, 10450027, 77216338

Offset

2,1

Links

Table of n, a(n) for n=2..10.

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