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Maximal value of m such that 13^m <= n! : a(n) = floor( log(n!) / log(13) ).
10

%I #4 Sep 04 2015 10:24:46

%S 0,0,0,1,1,2,3,4,4,5,6,7,8,9,10,11,13,14,15,16,17,18,20,21,22,23,25,

%T 26,27,29,30,31,33,34,35,37,38,40,41,43,44,45,47,48,50,51,53,54,56,57,

%U 59,60,62,64,65,67,68,70,71,73

%N Maximal value of m such that 13^m <= n! : a(n) = floor( log(n!) / log(13) ).

%o (PARI) a(n)=lngamma(n+1)\log(13) \\ _Charles R Greathouse IV_, Sep 04 2015

%o (PARI) a(n)=logint(n!,13) \\ _Charles R Greathouse IV_, Sep 04 2015

%Y Cf. A067850, A127031, A127032, A127033, A127034, A127035, A127036, A127037, A127039.

%K nonn

%O 1,6

%A _Artur Jasinski_, Jan 03 2007