%I A092431
%S A092431 2,9,35,135,527,2079,8255,32895,131327,524799,2098175,8390655,33558527,
%T A092431 134225919,536887295,2147516415,8590000127,34359869439,137439215615,
%U A092431 549756338175,2199024304127,8796095119359
%N A092431 Numbers having in binary representation a leading 1 followed by n zeros 
               and n-1 ones.
%C A092431 a(n+1) = 2*a(n) + 4^n + 1;
%C A092431 Smallest numbers having in binary representation n 0's and n 1's:
%C A092431 a(n) = Min{m: A023416(m)=A000120(m)=n};
%C A092431 subsequence of A031443.
%C A092431 a(n) = A007582(n)-1 = A056326(2n+1) = A005367(n-1)/2 = A063376(n)/2-1 
               = A032125(n+1)/3-1 = A056309(2n+1)/2 = A028403(n+1)/4-1 = (A001576(n)-3)/
               2 = (A028400(n+1)-9)/8 = sum(k=2,n+1, A049775(k)) - R. Stephan, Mar 
               24 2004
%H A092431 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               Binary.html">Binary</a>
%F A092431 a(n) = 2^(2*n-1) + 2^(n-1) - 1.
%Y A092431 Cf. A007088, A001700.
%Y A092431 Sequence in context: A032601 A083141 A001571 this_sequence A147762 A077837 
               A150945
%Y A092431 Adjacent sequences: A092428 A092429 A092430 this_sequence A092432 A092433 
               A092434
%K A092431 nonn
%O A092431 1,1
%A A092431 Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Mar 23 2004