%I A000322 M3786 N1542
%S A000322 1,1,1,1,1,5,9,17,33,65,129,253,497,977,1921,3777,7425,14597,28697,56417,
%T A000322 110913,218049,428673,842749,1656801,3257185,6403457,12588865,24749057
%N A000322 Pentanacci numbers.
%D A000322 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A000322 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A000322 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 A000322 B. G. Baumgart, Letter to the editor, Fib. Quart. 2 (1964), 260, 302.
%H A000322 T. D. Noe, <a href="b000322.txt">Table of n, a(n) for n=0..200</a>
%H A000322 Joerg Arndt, <a href="http://www.jjj.de/fxt/#fxtbook">Fxtbook</a>
%H A000322 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 A000322 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 A000322 A000322:=(-1+z**2+2*z**3+3*z**4)/(-1+z**2+z**3+z+z**4+z**5); [Conjectured 
               by S. Plouffe in his 1992 dissertation.]
%p A000322 a:= n-> (Matrix([[1$5]]). Matrix(5, (i,j)-> if (i=j-1) or j=1 then 1 
               else 0 fi)^n)[1,5]; seq (a(n), n=0..28); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), 
               Aug 26 2008]
%Y A000322 Cf. A000045, A000288, A000383, A060455.
%Y A000322 Sequence in context: A081295 A160426 A059743 this_sequence A020737 A147401 
               A062536
%Y A000322 Adjacent sequences: A000319 A000320 A000321 this_sequence A000323 A000324 
               A000325
%K A000322 nonn
%O A000322 0,6
%A A000322 N. J. A. Sloane (njas(AT)research.att.com).