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

1,6

Links

Table of n, a(n) for n=1..75.

Mathematica

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

Crossrefs

Cf. A000142, A000314.

Sequence in context: A226762 A347697 A300763 * A002265 A242601 A110655

Adjacent sequences: A359273 A359274 A359275 * A359277 A359278 A359279

Keyword

nonn

Author

Clark Kimberling, Jan 26 2023

Status

approved