Search: id:A001352
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%I A001352 M4164 N1731
%S A001352 1,6,24,90,336,1254,4680,17466,65184,243270,907896,3388314,12645360,
%T A001352 47193126,176127144,657315450,2453134656,9155223174,34167758040,
%U A001352 127515808986,475895477904,1776066102630,6628368932616,24737409627834
%N A001352 a(0) = 1, a(1) = 6, a(2) = 24; for n>=3, a(n) = 4a(n-1) - a(n-2).
%C A001352 Also the coordination sequence of a {4,6} tiling of the hyperbolic plane, 
               where there are 6 squares (with vertex angles Pi/3) around every 
               vertex. - toen (tca110(AT)rsphysse.anu.edu.au), May 16 2005
%D A001352 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A001352 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A001352 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 A001352 T. N. E. Greville, Table for third-degree spline interpolations with 
               equally spaced arguments, Math. Comp., 24 (1970), 179-.
%H A001352 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 A001352 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 A001352 g.f.: 1+6x/(1-4x+x^2). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Jun 06 2007
%p A001352 A001352 := proc(n) coeftayl(1+6*x/(1-4*x+x^2),x=0,n) ; end: for n from 
               0 to 30 do printf("%d,",A001352(n)) ; od ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Jun 06 2007
%p A001352 A001352:=(z+1)**2/(1-4*z+z**2); [Conjectured by S. Plouffe in his 1992 
               dissertation.]
%Y A001352 First differences of A082841. Pairwise sums of A001834.
%Y A001352 Sequence in context: A025472 A002919 A006780 this_sequence A155602 A079839 
               A002023
%Y A001352 Adjacent sequences: A001349 A001350 A001351 this_sequence A001353 A001354 
               A001355
%K A001352 nonn
%O A001352 0,2
%A A001352 N. J. A. Sloane (njas(AT)research.att.com).
%E A001352 More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 06 2007

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