Search: id:A001953
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%I A001953 M0543 N0193
%S A001953 0,2,3,4,6,7,9,10,12,13,14,16,17,19,20,21,23,24,26,27,28,30,31,33,34,
%T A001953 36,37,38,40,41,43,44,45,47,48,50,51,53,54,55,57,58,60,61,62,64,65,67,
%U A001953 68,70,71,72,74,75,77,78,79,81,82,84,85,86,88,89,91,92,94,95,96,98,99
%N A001953 Floor [(n+1/2)sqrt(2)]
%C A001953 The g.f. -z*(-2-z**2-2*z**3-z**4-z-z**7+z**8)/(z**4+z**3+z**2+z+1)/(z-1)**2 
               conjectured by S. Plouffe in his 1992 dissertation is wrong.
%D A001953 I. G. Connell, A generalization of Wythoff's game, Canad. Math. Bull., 
               2 (1959), 181-190.
%D A001953 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A001953 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%H A001953 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 A001953 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.
%o A001953 (PARI) a(n)=floor((n+1/2)*sqrt(2))
%Y A001953 Complement of A001954.
%Y A001953 Sequence in context: A070124 A059097 A047301 this_sequence A079057 A006254 
               A111333
%Y A001953 Adjacent sequences: A001950 A001951 A001952 this_sequence A001954 A001955 
               A001956
%K A001953 nonn
%O A001953 0,2
%A A001953 N. J. A. Sloane (njas(AT)research.att.com).
%E A001953 More terms from Michael Somos, Apr 26, 2000.

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