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A103644 G.f. (3x+1)/(1+2x-6x^2-27x^3). 3

%I

%S 1,1,4,25,1,256,169,1225,5476,961,64009,25600,358801,1164241,515524,

%T 15642025,3243601,101284096,239228089,216825625,3736387876,287336401,

%U 27697946329,47210598400

%N G.f. (3x+1)/(1+2x-6x^2-27x^3).

%C A floretion-generated sequence of squares.

%C This sequence is also related to several other sequences of squares.

%H Harvey P. Dale, <a href="/A103644/b103644.txt">Table of n, a(n) for n = 0..1000</a>

%H Creighton Dement, <a href="http://www.fumba.eu/sitelayout/Floretion.html">Online Floretion Multiplier</a> [From _Creighton Dement_, May 24 2009]

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (-2,6,27).

%F a(n+3) = -2a(n+2) + 6a(n+1) + 27a(n), a(0) = 1, a(1) = 1, a(2) = 4

%F a(n) = (1/11)*(2*3^n-(-5/2-(I*sqrt(11))/2)^n-(-5/2+(I*sqrt(11))/2)^n) [From _Creighton Dement_, May 24 2009]

%t CoefficientList[Series[(3x+1)/(1+2x-6x^2-27x^3),{x,0,30}],x] (* or *) LinearRecurrence[{-2,6,27},{1,1,4},30] (* _Harvey P. Dale_, Dec 13 2017 *)

%o Floretion Algebra Multiplication Program, FAMP.

%Y Cf. A103645.

%K nonn,easy

%O 0,3

%A _Creighton Dement_, Feb 11 2005

%E Corrected by _T. D. Noe_, Nov 07 2006

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Last modified June 4 17:14 EDT 2020. Contains 334828 sequences. (Running on oeis4.)