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 A110063 Expansion of -(3 - x + 2*x^2) / (1 - x^3 + x^4). 4

%I #7 May 11 2019 10:11:48

%S -3,1,-2,-3,4,-3,-1,7,-7,2,8,-14,9,6,-22,23,-3,-28,45,-26,-25,73,-71,

%T 1,98,-144,72,97,-242,216,25,-339,458,-191,-364,797,-649,-173,1161,

%U -1446,476,1334,-2607,1922,858,-3941,4529,-1064,-4799,8470,-5593,-3735,13269,-14063,1858,17004,-27332,15921,15146,-44336

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

%C One of several sequences which appear to "spiral outwards" when plotted against each other (see A110061-64).

%H Colin Barker, <a href="/A110063/b110063.txt">Table of n, a(n) for n = 0..1000</a>

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

%F a(n) = a(n-3) - a(n-4) for n>3. - _Colin Barker_, May 11 2019

%p seriestolist(series(-(3-x+2*x^2)/(1-x^3+x^4), x=0,60)); -or- Floretion Algebra Multiplication Program, FAMP Code: 4jbaseseq[A*B] with A = + .5'i + .5'j + .5'k + .5e and B = - .5'i - .25'j + .25'k - .5i' - .25j' + .25k' - .5'ii' - .25'ij' - .25'ik' - .25'ji' - .25'ki' - .5e

%o (PARI) Vec(-(3 - x + 2*x^2) / (1 - x^3 + x^4) + O(x^45)) \\ _Colin Barker_, May 11 2019

%Y Cf. A110061, A110062, A110064.

%K easy,sign

%O 0,1

%A _Creighton Dement_, Jul 10 2005

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Last modified April 20 22:14 EDT 2024. Contains 371848 sequences. (Running on oeis4.)