

A136432


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


3



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
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OFFSET

0,1


LINKS



FORMULA



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



KEYWORD

easy,nonn


AUTHOR



EXTENSIONS

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


STATUS

approved



