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%I #12 Mar 13 2024 19:26:36
%S -1,3,-6,11,-27,60,-141,337,-808,1943,-4687,11306,-27287,65869,
%T -159012,383877,-926753,2237366,-5401467,13040283,-31482014,76004289,
%U -183490573,442985412,-1069461373,2581908135,-6233277618,15048463343,-36330204279,87708871872,-211747947993
%N Expansion of (-1+x+2*x^2-6*x^3+x^4+x^5) / ((x-1)*(x^2-x+1)*(x^2-2*x-1)*(x+1)^2).
%C Floretion Algebra Multiplication Program, FAMP Code: 1tessumseq[A*C] with A = + .5'k + .5k' + .5'ii' + .5'jj' and C = - .5'j + .5'k - .5j' + .5k' - 'ii' - .5'ij' - .5'ik' - .5'ji' - .5'ki'; sumtype: sum[Y[15]] = sum[ * ]
%H Colin Barker, <a href="/A109781/b109781.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (-2,2,1,-3,2,2,-1).
%F a(n) = -2*a(n-1) + 2*a(n-2) + a(n-3) - 3*a(n-4) + 2*a(n-5) + 2*a(n-6) - a(n-7) for n>6. - _Colin Barker_, May 14 2019
%o (PARI) Vec(-(1 - x - 2*x^2 + 6*x^3 - x^4 - x^5) / ((1 - x)*(1 + x)^2*(1 + 2*x - x^2)*(1 - x + x^2)) + O(x^30)) \\ _Colin Barker_, May 14 2019
%K easy,sign
%O 0,2
%A _Creighton Dement_, Aug 13 2005
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