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%I A091270 #9 Jul 28 2017 14:07:04
%S A091270 0,2,5,13,29,61,125,253,509,1021,2045,4093,8189,16381,32765,65533,
%T A091270 131069,262141,524285,1048573,2097149,4194301,8388605,16777213,
%U A091270 33554429,67108861,134217725,268435453,536870909,1073741821
%N A091270 Smallest number having in binary representation a prefix of length n that is also a suffix of its successor.
%C A091270 A091269(a(n)) = n and A091269(m) < n for m<a(n);
%C A091270 a(n) = 2^(n+1) - 3 for n>2, cf. A036563.
%H A091270 <a href="/index/Bi#binary">Index entries for sequences related to binary expansion of n</a>
%H A091270 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Binary.html">Binary</a>
%H A091270 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (3,-2).
%Y A091270 Cf. A007088.
%K A091270 nonn,base
%O A091270 0,2
%A A091270 _Reinhard Zumkeller_, Dec 27 2003

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