A127039 Maximal value of m such that 29^m <= n! : a(n) = floor( log(n!) / log(29) ).

0, 0, 0, 0, 1, 1, 2, 3, 3, 4, 5, 5, 6, 7, 8, 9, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 36, 37, 38, 39, 40, 41, 42, 44, 45, 46, 47, 48, 49, 51, 52, 53, 54, 56

Offset

1,7

Links

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

Mathematica

Table[Floor[Log[29, n!]], {n, 60}] (* Harvey P. Dale, May 09 2016 *)

Prog

(PARI) a(n)=lngamma(n+1)\log(29) \\ Charles R Greathouse IV, Sep 02 2015
(PARI) a(n)=logint(n!, 29) \\ Charles R Greathouse IV, Sep 04 2015

Crossrefs

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

Sequence in context: A076874 A127041 A173023 * A143091 A114539 A337600

Adjacent sequences: A127036 A127037 A127038 * A127040 A127041 A127042

Keyword

nonn

Author

Artur Jasinski, Jan 03 2007

Status

approved