A136774 - OEIS

%I #12 Sep 22 2016 11:56:57

%S 62,94,110,118,126,158,174,182,190,206,214,222,230,238,254,286,302,

%T 310,318,334,342,350,358,366,382,398,406,414,422,430,446,454,462,478,

%U 510,542,558,566,574,590,598,606,614,622,638,654,662,670,678,686,702,710

%N n! never ends in this many 0's in base 16.

%H Robert G. Wilson v, <a href="/A136774/b136774.txt">Table of n, a(n) for n = 1..1000</a>

%F Conjecture: a(n) ~ 16n. This holds with probability 1 in a random model. - _Charles R Greathouse IV_, Sep 22 2016

%o (PARI) is(n)=my(t=4*n+2,s=1-hammingweight(n)); while(s<0, s+=valuation(t+=2,2)); s>3 \\ _Charles R Greathouse IV_, Sep 22 2016

%Y Cf. A000142, A136766, A136702, A000966, A055938, A096346, A136767, A136768, A136769, A136770, A136771, A136772, A136773.

%K base,nonn

%O 1,1

%A _Carl R. White_, Jan 21 2008