Search: id:A000969
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%I A000969 M2630 N1042
%S A000969 1,3,7,12,18,26,35,45,57,70,84,100,117,135,155,176,198,222,247,273,301,
%T A000969 330,360,392,425,459,495,532,570,610,651,693,737,782,828,876,925,975,1027,
%U A000969 1080,1134,1190,1247,1305,1365,1426,1488,1552,1617,1683,1751,1820,1890
%N A000969 G.f.: (1+x+2*x^2)/((1-x)^2*(1-x^3)).
%D A000969 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A000969 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A000969 P. A. Piza, Fermat coefficients, Math. Mag., 27 (1954), 141-146.
%H A000969 <a href="Sindx_Rea.html#recLCC">Index entries for sequences related to 
               linear recurrences with constant coefficients</a>
%H A000969 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 A000969 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 A000969 A000969:=-(1+z+2*z**2)/(z**2+z+1)/(z-1)**3; [S. Plouffe in his 1992 dissertation.]
%Y A000969 Cf. A004773 (first differences), A092498 (partial sums). [From R. J. 
               Mathar (mathar(AT)strw.leidenuniv.nl), Jan 05 2009]
%Y A000969 Sequence in context: A066379 A024517 A005228 this_sequence A122250 A024388 
               A109638
%Y A000969 Adjacent sequences: A000966 A000967 A000968 this_sequence A000970 A000971 
               A000972
%K A000969 nonn,easy
%O A000969 0,2
%A A000969 N. J. A. Sloane (njas(AT)research.att.com).

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