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%I #21 Jun 15 2019 10:25:16
%S 0,2,4,10,18,34,62,118,222,432,834,1642,3230,6406,12702,25298,50386,
%T 100566,200716,401022,801230,1601654,3201694,6401784,12800378,
%U 25597578,51188806,102371284,204729938,409447272,818869352,1637713546,3275376848,6550703506,13101306654,26202513022,52404825604,104809450870,209618501128,419236601774
%N Number of length-n binary words having exactly one nontrivial palindrome prefix.
%C A palindrome is nontrivial if it is of length at least 2.
%e For n = 4 the 10 solutions are 0010, 0011, 0100, 0101, 0110 and their binary complements.
%Y Cf. A308528.
%K nonn
%O 1,2
%A _Jeffrey Shallit_, Jun 06 2019
%E a(29)-a(40) from _Bert Dobbelaere_, Jun 15 2019
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