A136774 n! never ends in this many 0's in base 16.

62, 94, 110, 118, 126, 158, 174, 182, 190, 206, 214, 222, 230, 238, 254, 286, 302, 310, 318, 334, 342, 350, 358, 366, 382, 398, 406, 414, 422, 430, 446, 454, 462, 478, 510, 542, 558, 566, 574, 590, 598, 606, 614, 622, 638, 654, 662, 670, 678, 686, 702, 710

Offset: 1

Author

Carl R. White, Jan 21 2008

Keywords

• base
• nonn

Links

• Robert G. Wilson v, Table of n, a(n) for n = 1..1000

Crossrefs

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

Programs

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

Formula

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