%I A002783 M2892 N1159
%S A002783 1,3,11,39,131,423,1331,4119,12611,38343,116051,350199,1054691,
%T A002783 3172263,9533171,28632279,85962371,258018183,774316691,2323474359,6971471651,
               20916512103
%N A002783 2(3^n - 2^n )+1.
%D A002783 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A002783 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A002783 S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques 
               Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 
               1992.
%D A002783 H. Gupta, On a problem in parity, Indian J. Math., 11 (1969), 157-163.
%H A002783 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 A002783 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.
%p A002783 A002783:=-(1-3*z+4*z**2)/(z-1)/(3*z-1)/(2*z-1); [Conjectured by S. Plouffe 
               in his 1992 dissertation.]
%Y A002783 Sequence in context: A064086 A089579 A166336 this_sequence A007482 A134760 
               A132889
%Y A002783 Adjacent sequences: A002780 A002781 A002782 this_sequence A002784 A002785 
               A002786
%K A002783 nonn
%O A002783 0,2
%A A002783 N. J. A. Sloane (njas(AT)research.att.com).