Search: id:A003413
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%I A003413 M0521
%S A003413 1,2,3,4,5,7,9,12,15,19,24,31,40,52,67,86,110,141,181,233,300,386,
%T A003413 496,637,818,1051,1351,1737,2233,2870,3688,4739,6090,7827,10060,12930
%N A003413 From a nim-like game.
%D A003413 R. K. Guy, personal communication.
%D A003413 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%H A003413 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 A003413 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.
%F A003413 Recurrence: a(n) = a(n-1) + a(n-6) for n >= 8.
%F A003413 O.g.f.: -(x^2+x+1)*(x^5+x^3+1)/(-1+x+x^6) = -x-1+(-2-x-x^3-x^4-2*x^5)/
               (-1+x+x^6) . - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 05 
               2007
%p A003413 A003413:=-(z**5+z**3+1)*(z**2+z+1)/(z**6+z-1); [S. Plouffe in his 1992 
               dissertation.]
%Y A003413 Cf. A005708.
%Y A003413 Sequence in context: A039853 A062188 A122129 this_sequence A100853 A121659 
               A096814
%Y A003413 Adjacent sequences: A003410 A003411 A003412 this_sequence A003414 A003415 
               A003416
%K A003413 nonn
%O A003413 0,2
%A A003413 N. J. A. Sloane (njas(AT)research.att.com).

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