|
%I #12 May 19 2019 06:21:33
%S 1,-8,28,-100,358,-1276,4558,-16342,58732,-211306,760498,-2737168,
%T 9851098,-35452510,127584124,-459135130,1652275834,-5945992576,
%U 21397667026,-77003195254,277109379628,-997226422690,3588693361378,-12914539595584,46475225095450
%N Expansion of -(7*x^2+3*x-1)*(2*x^2+2*x+1) / ((3*x^2+3*x+1)*(2*x^3+2*x^2+4*x+1)).
%H G. C. Greubel, <a href="/A110687/b110687.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (-7,-17,-20,-12,-6).
%F a(n) = -7*a(n-1) - 17*a(n-2) - 20*a(n-3) - 12*a(n-4) - 6*a(n-5) for n>4. - _Colin Barker_, May 19 2019
%p seriestolist(series(-(7*x^2+3*x-1)*(2*x^2+2*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)-4basekforsumseq[ + 'i - .25'j + .25'k - .25j' + .25k' - .5'ii' - .25'ij' - .25'ik' - .25'ji' - .25'ki' - .5e], Sumtype is set to: default; Fortype is set to: 1A.
%t CoefficientList[Series[-(7*x^2 + 3*x - 1)*(2*x^2 + 2*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 2017 *)
%o (PARI) Vec(-(7*x^2+3*x-1)*(2*x^2+2*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. A110688, A110689, A110679.
%K sign,easy
%O 0,2
%A _Creighton Dement_, Aug 02 2005
|
