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%I #13 May 19 2019 06:21:06
%S -1,2,0,-13,60,-220,765,-2662,9384,-33457,120048,-431896,1554957,
%T -5598250,20151564,-72527377,261011940,-939300196,3380216661,
%U -12164232958,43774972368,-157531648801,566904871752,-2040106024480,7341678056925
%N Expansion of (1+4*x-2*x^2-4*x^3+4*x^4) / ((x-1)*(3*x^2+3*x+1)*(2*x^3+2*x^2+4*x+1)).
%H G. C. Greubel, <a href="/A110685/b110685.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (-6,-10,-3,8,6,6).
%F a(n) = -6*a(n-1) - 10*a(n-2) - 3*a(n-3) + 8*a(n-4) + 6*a(n-5) + 6*a(n-6) for n>5. - _Colin Barker_, May 19 2019
%p seriestolist(series((1+4*x-2*x^2-4*x^3+4*x^4)/((x-1)*(3*x^2+3*x+1)*(2*x^3+2*x^2+4*x+1)), x=0,25)); -or- Floretion Algebra Multiplication Program, FAMP Code: tessum(infty)-4basejforsumseq[ + 'i - .25'j + .25'k - .25j' + .25k' - .5'ii' - .25'ij' - .25'ik' - .25'ji' - .25'ki' - .5e], Sumtype is set to: sum[Y[15]] = sum[ * ], Fortype is set to: 1A.
%t CoefficientList[Series[(1 + 4*x - 2*x^2 - 4*x^3 + 4*x^4)/((x - 1)*(3*x^2 + 3*x + 1)*(2*x^3 + 2*x^2 + 4*x + 1)), {x,0,50}], x] (* _G. C. Greubel_, Sep 06 217 *)
%o (PARI) Vec((1+4*x-2*x^2-4*x^3+4*x^4)/((x-1)*(3*x^2+3*x+1)*(2*x^3+2*x^2+4*x+1))+O(x^99)) \\ _Charles R Greathouse IV_, Sep 26 2012
%Y Cf. A110683, A110684, A110686.
%K sign,easy
%O 0,2
%A _Creighton Dement_, Aug 02 2005
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