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n! never ends in this many 0's in base 7.
7

%I #5 Aug 03 2013 03:56:08

%S 7,15,23,31,39,47,55,56,64,72,80,88,96,104,112,113,121,129,137,145,

%T 153,161,169,170,178,186,194,202,210,218,226,227,235,243,251,259,267,

%U 275,283,284,292,300,308,316,324,332,340,341,349,357,365,373,381,389,397

%N n! never ends in this many 0's in base 7.

%C Also: n! never ends in this many 0's in base 14, 21, 28 and all other 7-divisible proper factors of 7!

%Y Cf. A000142, A136758, A136694.

%Y Cf. A000966, A055938, A096346, A136767, A136769, A136770, A136771, A136772, A136773, A136774.

%K base,nonn

%O 1,1

%A _Carl R. White_, Jan 21 2008