A359276 a(n) = greatest integer k such that (n+k)! <= n^n.

0, 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 16, 16

Offset: 1

Author

Clark Kimberling, Jan 26 2023

Keywords

• nonn

Crossrefs

Cf. A000142, A000314.

Programs

Mathematica

a[n_] := Select[-1 + Range[1300], (n + #)! <= n^n < (n + # + 1)! &]
Flatten[Table[a[n], {n, 1, 200}]]