A127041 Maximal value of m such that 31^m <= n! : a(n) = floor( log(n!) / log(31) ).

0, 0, 0, 0, 1, 1, 2, 3, 3, 4, 5, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 42, 43, 44, 45, 46, 47, 49, 50, 51, 52, 53, 54

Offset

1,7

Links

Table of n, a(n) for n=1..60.

Prog

(PARI) a(n) =  floor( log(n!) / log(31) ); \\ Michel Marcus, Nov 02 2013
(PARI) a(n)=lngamma(n+1)\log(31) \\ Charles R Greathouse IV, Sep 04 2015
(PARI) a(n)=logint(n!, 31) \\ Charles R Greathouse IV, Sep 04 2015

Crossrefs

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

Sequence in context: A248183 A049474 A076874 * A173023 A127039 A143091

Adjacent sequences: A127038 A127039 A127040 * A127042 A127043 A127044

Keyword

nonn

Author

Artur Jasinski, Jan 03 2007

Status

approved