%I A138587
%S A138587 0,1,2,3,5,6,10,11,21,22,42,43,85,86,170,171,341,342,682,683,1365,1366,
%T A138587 2730,2731,5461,5462,10922,10923,21845,21846,43690,43691,87381,87382,
%U A138587 174762,174763,349525,349526,699050,699051,1398101,1398102,2796202,2796203,
               5592405
%N A138587 The union of all entries of A024495, A131708 and A024493 sorted into 
               natural order.
%C A138587 The three sequences of the definition share the same special recurrence 
               which reflects that each equals its own sequence of third differences.
%F A138587 a(n+8) == a(n) (mod 10), n > 1.
%F A138587 a(2*n+1)-a(2*n)=1.
%F A138587 a(2*n) = A000975(n+1), n>0 (bisection).
%F A138587 a(n)= -a(n-1) +a(n-2) +a(n-3) +2*a(n-4) +2*a(n-5), n>6. G.f.: x*(3*x+4*x^2+5*x^3+4*x^4+2*x^5+1)/
               ((1+x)*(1-2*x^2)*(1+x^2)). [R. J. Mathar, Nov 22 2009]
%Y A138587 Adjacent sequences: A138584 A138585 A138586 this_sequence A138588 A138589 
               A138590
%K A138587 nonn,new
%O A138587 0,3
%A A138587 Paul Curtz (bpcrtz(AT)free.fr), May 13 2008
%E A138587 Edited and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 
               22 2009