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A110061 Expansion of x^2*(-3+4*x)/(1-x^3+x^4). 3

%I #8 Nov 04 2021 13:09:24

%S 0,0,-3,4,0,-3,7,-4,-3,10,-11,1,13,-21,12,12,-34,33,0,-46,67,-33,-46,

%T 113,-100,-13,159,-213,87,172,-372,300,85,-544,672,-215,-629,1216,

%U -887,-414,1845,-2103,473,2259,-3948,2576,1786,-6207,6524,-790,-7993,12731,-7314,-7203,20724,-20045,111,27927,-40769,20156

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

%C One of several sequences which appear to "spiral outwards" when plotted against each other (see A110062-64).

%H Robert Munafo, <a href="http://www.mrob.com/pub/math/seq-floretion.html">Sequences Related to Floretions</a>

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

%p seriestolist(series(x^2*(-3+4*x)/(1-x^3+x^4), x=0,30)); -or- 4tesseq[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

%t CoefficientList[Series[x^2(-3+4x)/(1-x^3+x^4),{x,0,100}],x] (* or *) LinearRecurrence[{0,0,1,-1},{0,0,-3,4},100] (* _Harvey P. Dale_, Nov 04 2021 *)

%Y Cf. A110062, A110063, A110064.

%K easy,sign

%O 0,3

%A _Creighton Dement_, Jul 10 2005

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Last modified April 12 22:48 EDT 2024. Contains 371639 sequences. (Running on oeis4.)