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 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 (list; graph; refs; listen; history; text; internal format)
 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

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Last modified September 27 20:41 EDT 2023. Contains 365714 sequences. (Running on oeis4.)