%I #9 Jul 28 2017 14:07:04

%S 0,2,5,13,29,61,125,253,509,1021,2045,4093,8189,16381,32765,65533,

%T 131069,262141,524285,1048573,2097149,4194301,8388605,16777213,

%U 33554429,67108861,134217725,268435453,536870909,1073741821

%N Smallest number having in binary representation a prefix of length n that is also a suffix of its successor.

%C A091269(a(n)) = n and A091269(m) < n for m<a(n);

%C a(n) = 2^(n+1) - 3 for n>2, cf. A036563.

%H <a href="/index/Bi#binary">Index entries for sequences related to binary expansion of n</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Binary.html">Binary</a>

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (3,-2).

%Y Cf. A007088.

%K nonn,base

%O 0,2

%A _Reinhard Zumkeller_, Dec 27 2003