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A105077 Expansion of g.f. -(x^3+5x+5)/((x^2-x+1)*(x+1)^2). 0

%I #19 Mar 08 2024 12:12:10

%S -5,0,0,4,1,-1,-3,-2,2,2,3,-3,-1,-4,4,0,5,-5,1,-6,6,-2,7,-7,3,-8,8,-4,

%T 9,-9,5,-10,10,-6,11,-11,7,-12,12,-8,13,-13,9,-14,14,-10,15,-15,11,

%U -16,16,-12,17,-17,13,-18,18,-14,19,-19,15,-20,20,-16,21,-21,17,-22,22,-18,23,-23,19,-24,24,-20,25,-25,21

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

%C Pattern is clear upon comparing adjacent terms of the form (n, -n).

%C Floretion Algebra Multiplication Program, FAMP Code: 1vesseq[ + .25'i + .5'j + .5'k + .25i' - .5j' + .5k' + .25'ii' + .25'jj' + .25'kk' + .5'ij' + .5'ik' + .5'ji' + .25'jk' + .5'ki' + .25'kj' + .25e ]

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (-1,0,-1,-1).

%K sign,easy

%O 0,1

%A _Creighton Dement_, Apr 06 2005

%E Signs in the generating function corrected by _R. J. Mathar_, Aug 28 2010

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Last modified April 29 23:45 EDT 2024. Contains 372114 sequences. (Running on oeis4.)