A136432 a(n)! is the smallest factorial bigger than n^n.

2, 2, 3, 5, 6, 7, 9, 10, 11, 12, 14, 15, 16, 17, 19, 20, 21, 22, 24, 25, 26, 27, 29, 30, 31, 32, 33, 35, 36, 37, 38, 39, 41, 42, 43, 44, 45, 47, 48, 49, 50, 51, 53, 54, 55, 56, 57, 59, 60, 61, 62, 63, 65, 66, 67, 68, 69, 71, 72, 73, 74, 75, 76, 78, 79, 80, 81, 82, 84, 85, 86, 87

Offset

0,1

Links

Alois P. Heinz, Table of n, a(n) for n = 0..10000

Formula

a(n) = A090529(n^n+1). - R. J. Mathar, Apr 06 2022

Example

a(13) = 17 because 17! is the smallest factorial bigger than 13^13.

Mathematica

From Alexis Olson (AlexisOlson(AT)gmail.com), Nov 14 2008: (Start)
For[n = 1; s = {2}, n <= 1000, n++,
..For[k = Max[s], k <= 1200, k++,
....If[k! > n^n, s = Union[s, {k}]; Break[]]]]; s (End)
With[{ff=Table[{n, n!}, {n, 100}]}, Transpose[Flatten[Table[Select[ff, #[[2]]>k^k&, 1], {k, 90}], 1]][[1]]] (* Harvey P. Dale, Mar 16 2013 *)

Crossrefs

Sequence in context: A299775 A227191 A214045 * A172992 A006065 A218933

Adjacent sequences: A136429 A136430 A136431 * A136433 A136434 A136435

Keyword

easy,nonn

Author

Ben Paul Thurston, Apr 01 2008

Extensions

More terms from Alexis Olson (AlexisOlson(AT)gmail.com), Nov 14 2008

a(0) prepended by Alois P. Heinz, Mar 30 2022

Status

approved