Search: id:A092431 Results 1-1 of 1 results found. %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, Binary %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 Search completed in 0.001 seconds