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%I #10 Mar 11 2024 20:53:46
%S 0,1,1,1,9,16,14,52,148,251,565,1499,3243,7060,16908,38770,86560,
%T 199485,459507,1042743,2381573,5463922,12473396,28472588,65151034,
%U 148934761,340205233,777721477,1777971169,4063085580
%N Expansion of x*(-1+3*x-5*x^2+4*x^3+2*x^4+2*x^6) / ((x-1)*(2*x^4-4*x^3+3*x^2-3*x+1)*(x^4-2*x^3+2*x^2+1)).
%C Floretion Algebra Multiplication Program, FAMP Code: 4kbaseicycsumseq[ + 'i + .5'k + .5k' + .5'ik' + .5'kj'], sumtype: (Y[15], *, vesy)
%H Colin Barker, <a href="/A110151/b110151.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (4,-8,17,-27,32,-32,23,-10,2).
%F a(n) = 4*a(n-1) - 8*a(n-2) + 17*a(n-3) - 27*a(n-4) + 32*a(n-5) - 32*a(n-6) + 23*a(n-7) - 10*a(n-8) + 2*a(n-9) for n>8. - _Colin Barker_, May 16 2019
%o (PARI) concat(0, Vec(x*(1 - 3*x + 5*x^2 - 4*x^3 - 2*x^4 - 2*x^6) / ((1 - x)*(1 + 2*x^2 - 2*x^3 + x^4)*(1 - 3*x + 3*x^2 - 4*x^3 + 2*x^4)) + O(x^40))) \\ _Colin Barker_, May 16 2019
%K nonn,easy
%O 0,5
%A _Creighton Dement_, Sep 05 2005
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