%I #14 Apr 21 2016 13:54:09
%S 0,1,2,3,4,6,7,8,11,12,14,15,16,20,23,24,27,28,30,31,32,37,40,44,47,
%T 48,52,55,56,59,60,62,63,64,70,74,78,81,85,88,92,95,96,101,104,108,
%U 111,112,116,119,120,123,124,126,127,128,135,139,143,146,151,154,158
%N a(n+1) = a(n) + max(1, count0s), where count0s is number of 0's in binary representation of a(n).
%H Harvey P. Dale, <a href="/A214913/b214913.txt">Table of n, a(n) for n = 1..1000</a>
%t NestList[#+Max[1,DigitCount[#,2,0]]&,0,70] (* _Harvey P. Dale_, Apr 21 2016 *)
%o (Python)
%o a = 0
%o for n in range(100):
%o print a,
%o ta = a
%o c0 = (a==0)
%o while ta>0:
%o c0 += 1-(ta&1)
%o ta >>= 1
%o a += max(c0,1)
%Y Cf. A010062.
%K nonn,base
%O 1,3
%A _Alex Ratushnyak_, Aug 03 2012