Search: id:A000383
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%I A000383 M4088 N1697
%S A000383 1,1,1,1,1,1,6,11,21,41,81,161,321,636,1261,2501,4961,9841,19521,38721,
               76806,
%T A000383 152351,302201,599441,1189041,2358561,4678401,9279996,18407641
%N A000383 Hexanacci numbers.
%D A000383 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A000383 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A000383 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 A000383 B. G. Baumgart, Letter to the editor, Fib. Quart. 2 (1964), 260, 302.
%H A000383 T. D. Noe, <a href="b000383.txt">Table of n, a(n) for n=0..200</a>
%H A000383 Joerg Arndt, <a href="http://www.jjj.de/fxt/#fxtbook">Fxtbook</a>
%H A000383 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 A000383 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 A000383 A000383:=(-1+z**2+2*z**3+3*z**4+4*z**5)/(-1+z**2+z**3+z**4+z**5+z+z**6); 
               [Conjectured by S. Plouffe in his 1992 dissertation.]
%p A000383 a:= n-> (Matrix([[1$6]]). Matrix(6, (i,j)-> if (i=j-1) or j=1 then 1 
               else 0 fi)^n)[1,6]: seq (a(n), n=0..28); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), 
               Aug 26 2008]
%Y A000383 Cf. A060455.
%Y A000383 Sequence in context: A007745 A021011 A000382 this_sequence A083575 A046616 
               A155449
%Y A000383 Adjacent sequences: A000380 A000381 A000382 this_sequence A000384 A000385 
               A000386
%K A000383 nonn,easy
%O A000383 0,7
%A A000383 N. J. A. Sloane (njas(AT)research.att.com).

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