Search: id:A001630
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%I A001630 M0795 N0301
%S A001630 0,0,1,2,3,6,12,23,44,85,164,316,609,1174,2263,4362,8408,16207,31240,
%T A001630 60217,116072,223736,431265,831290,1602363,3088654,5953572,11475879,
%U A001630 22120468,42638573,82188492,158423412,305370945,588621422,1134604271
%N A001630 Tetranacci numbers: a(n) = a(n-1) + a(n-2) + a(n-3) +a(n-4).
%D A001630 W. C. Lynch, The t-Fibonacci numbers and polyphase sorting, Fib. Quart., 
               8 (1970), pp. 6ff.
%D A001630 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A001630 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%H A001630 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 A001630 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 A001630 a(n) = A000078(n)+A000078(n+1) = a(n-1)+A000078(n+1)-A000078(n-1) - Henry 
               Bottomley
%p A001630 A001630:=-z**2*(1+z)/(-1+z+z**2+z**3+z**4); [Conjectured by S. Plouffe 
               in his 1992 dissertation.]
%p A001630 (Maple) a := proc(n) option operator; local M; M := Matrix(4, (i,j)-> 
               if (i=j-1) or j=1 then 1 else 0 fi)^n; M[1,4]+M[1,3] end; seq (a(n), 
               n=0..34); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Aug 01 
               2008]
%t A001630 a=0;b=0;c=1;d=2;lst={a, b, c, d};Do[e=a+b+c+d;AppendTo[lst, e];a=b;b=c;
               c=d;d=e, {n, 4!}];lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), 
               Sep 30 2008]
%Y A001630 Sequence in context: A068012 A019138 A154324 this_sequence A164363 A103341 
               A023675
%Y A001630 Adjacent sequences: A001627 A001628 A001629 this_sequence A001631 A001632 
               A001633
%K A001630 nonn
%O A001630 0,4
%A A001630 N. J. A. Sloane (njas(AT)research.att.com).
%E A001630 More terms from Henry Bottomley (se16(AT)btinternet.com), Oct 09 2000

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