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 A111666 Expansion of (-2+3*x+3*x^2+4*x^3+3*x^4-5*x^5)/((x-1)*(x+1)*(1+x^2)*(x^2-3*x+1)). 4

%I

%S 2,3,4,5,10,27,68,173,450,1179,3084,8069,21122,55299,144772,379013,

%T 992266,2597787,6801092,17805485,46615362,122040603,319506444,

%U 836478725,2189929730,5733310467,15010001668,39296694533,102880081930

%N Expansion of (-2+3*x+3*x^2+4*x^3+3*x^4-5*x^5)/((x-1)*(x+1)*(1+x^2)*(x^2-3*x+1)).

%H Harvey P. Dale, <a href="/A111666/b111666.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 (3, -1, 0, 1, -3, 1).

%F a(0)=2, a(1)=3, a(2)=4, a(3)=5, a(4)=10, a(5)=27, a(n)=3*a(n-1)-a(n-2)+ a(n-4)- 3*a(n-5)+a(n-6). - _Harvey P. Dale_, Jan 24 2015

%t CoefficientList[Series[(-2+3x+3x^2+4x^3+3x^4-5x^5)/((x-1)(x+1)(1+x^2)(x^2-3x+1)),{x,0,30}],x] (* or *) LinearRecurrence[{3,-1,0,1,-3,1},{2,3,4,5,10,27},30] (* _Harvey P. Dale_, Jan 24 2015 *)

%o Floretion Algebra Multiplication Program, FAMP Code: vessumseq[ + .25'i + .25i' + .25'ii' + .25'jj' + .25'kk' + .25'jk' + .25'kj' + .25e], sumtype: Y[15],inty[ * ]

%Y Cf. A111664, A111665.

%K easy,nonn

%O 0,1

%A _Creighton Dement_, Aug 14 2005

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Last modified December 9 03:54 EST 2022. Contains 358698 sequences. (Running on oeis4.)