%I A005838 M0516
%S A005838 1,2,3,4,5,7,8,9,10,12,13,14,15,17,18,19,20,22,23,24,25,26,33,34,35,36,
%T A005838 37,39,43,44,45,46,47,49,50,51,52,59,60,62,63,64,65,66,68,69,71,73,77,
               85,
%U A005838 87,88,89,90,91,93,96,97,98,99,100,103,104,107,111,114,115,117,118,120
%N A005838 Sequence contains no 6-term arithmetic progression.
%C A005838 The g.f. (1+z+z**2+z**3+z**5)/(z+1)/(z**2+1)/(z-1)**2 conjectured by 
               S. Plouffe in his 1992 dissertation is wrong.
%D A005838 J. L. Gerver and L. T. Ramsey, Sets of integers with no long arithmetic 
               progressions generated by the greedy algorithm, Math. Comp., 33 (1979), 
               1353-1359.
%D A005838 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%H A005838 S. Plouffe, <a href="http://www.lacim.uqam.ca/%7Eplouffe/articles/MasterThesis.pdf">
               Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures</
               a>, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 
               1992.
%H A005838 S. Plouffe, <a href="http://www.lacim.uqam.ca/%7Eplouffe/articles/FonctionsGeneratrices.pdf">
               1031 Generating Functions and Conjectures</a>, Universit\'{e} du 
               Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
%Y A005838 Equals A020656(n+1) + 1.
%Y A005838 Sequence in context: A039161 A032797 A001967 this_sequence A047203 A080919 
               A032974
%Y A005838 Adjacent sequences: A005835 A005836 A005837 this_sequence A005839 A005840 
               A005841
%K A005838 nonn
%O A005838 0,2
%A A005838 N. J. A. Sloane (njas(AT)research.att.com), Jeffrey Shallit