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%I #19 Mar 11 2024 08:11:17
%S 1,1,-2,-1,1,0,-3,-3,-2,-5,-11,-16,-23,-39,-66,-105,-167,-272,-443,
%T -715,-1154,-1869,-3027,-4896,-7919,-12815,-20738,-33553,-54287,
%U -87840,-142131,-229971,-372098,-602069,-974171,-1576240,-2550407,-4126647,-6677058,-10803705
%N a(n) = a(n-1) + a(n-3) + a(n-4), n >= 4.
%C See comment and FAMP code for A111569.
%C Floretion Algebra Multiplication Program, FAMP Code: 1jesseq[B+H] with B = - .25'i + .25'j - .25i' + .25j' + k' - .5'kk' - .25'ik' - .25'jk' - .25'ki' - .25'kj' - .5e and H = + .75'ii' + .75'jj' + .75'kk' + .75e
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,1,1).
%F G.f.: (-1+3*x^2)/((1+x^2)*(x^2+x-1)).
%t LinearRecurrence[{1,0,1,1},{1,1,-2,-1},40] (* or *) CoefficientList[ Series[ (-1+3*x^2)/((1+x^2)*(x^2+x-1)),{x,0,40}],x] (* _Harvey P. Dale_, Apr 23 2011 *)
%Y Cf. A001638, A111569, A111570, A111572, A111573, A007598, A000045.
%K easy,sign
%O 0,3
%A _Creighton Dement_, Aug 10 2005
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