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A074182
Largest power of n <= n!.
6
1, 2, 3, 16, 25, 216, 2401, 32768, 59049, 1000000, 19487171, 429981696, 815730721, 20661046784, 576650390625, 17592186044416, 34271896307633, 1156831381426176, 42052983462257059, 1638400000000000000
OFFSET
1,2
LINKS
FORMULA
From Danny Rorabaugh, Apr 14 2015: (Start)
a(n) = n^A039960(n) = n^(A060151(n)-1).
a(n) = n^floor(log_n(n!)) for n>1.
a(n) = A074181(n)/n for n>2.
(End)
PROG
(Sage) [1] + [n^(floor(log(factorial(n))/log(n))) for n in range(2, 21)] # Danny Rorabaugh, Apr 14 2015
(Magma) [1] cat [n^Floor(Log(Factorial(n)) / Log(n)): n in [2..25]]; // Vincenzo Librandi, Apr 15 2015
(PARI) a(n)=if(n>3, n^logint(n!, n), n) \\ Charles R Greathouse IV, Oct 11 2015
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Amarnath Murthy, Aug 31 2002
EXTENSIONS
More terms from Jason Earls, Sep 02 2002
STATUS
approved