Search: id:A081706 Results 1-1 of 1 results found. %I A081706 %S A081706 2,3,10,11,14,15,18,19,26,27,34,35,42,43,46,47,50,51,58,59,62,63,66,67, %T A081706 74,75,78,79,82,83,90,91,98,99,106,107,110,111,114,115,122,123,130,131, %U A081706 138,139,142,143,146,147,154,155,162,163,170,171,174,175,178,179,186 %N A081706 Numbers n such that binary representation ends either in an odd number of ones followed by one zero or in an even number of ones. %C A081706 Values of k such that the Motzkin number A001006(k) is even. Values of k such that the number of restricted hexagonal polyominoes with k+1 cells (A002212) is even. %C A081706 Or union of sequences {2*A079523(n)+k}, k=0,1. A generalization see in comment to A161639. [From Vladimir Shevelev (shevelev(AT)bgu.ac.il), Jun 15 2009] %C A081706 Or intersaction of sequences A121539 and {A121539(n)-1}. A generalization see in comment to A161890. [From Vladimir Shevelev (shevelev(AT)bgu.ac.il), Jul 03 2009] %C A081706 Also numbers n for which A010060(n+2)=A010060(n). [From Vladimir Shevelev (shevelev(AT)bgu.ac.il), Jul 06 2009] %H A081706 J.-P. Allouche, Andre Arnold, Jean Berstel, Srecko Brlek, William Jockusch, Simon Plouffe and Bruce E. Sagan, A sequence related to that of Thue-Morse, Discrete Math., 139 (1995), 455-461. %F A081706 a(2n-1)=2*A079523(n)=4*A003159(n)-2; a(2n)=4*A003159(n)-1. Note that a(2n)=1+a(2n-1). %Y A081706 Cf. A003159. %Y A081706 Cf. A079523. %Y A081706 Sequence in context: A007961 A060811 A146327 this_sequence A032804 A047473 A008509 %Y A081706 Adjacent sequences: A081703 A081704 A081705 this_sequence A081707 A081708 A081709 %K A081706 nonn %O A081706 1,1 %A A081706 Emeric Deutsch (deutsch(AT)duke.poly.edu) and Bruce E. Sagan, Apr 02 2003 Search completed in 0.002 seconds