%I
%S 1,1,2,1,2,3,1,3,5,4,2,8,9,2,10,17,11,8,27,28,3,35,55,31,
%T 32,90,86,1,122,176,85,123,298,261,38,421,559,223,459,980,
%U 782,236,1439,1762,546,1675,3201,2308,1129,4876,5509,1179,6005,10385,6688,4826,16390,17073,1862,21216
%N Expansion of (1  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 A110061A110064).
%H Colin Barker, <a href="/A110062/b110062.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(n3)  a(n4) for n>3.  _Colin Barker_, May 11 2019
%p seriestolist(series((1x+2*x^2)/(1x^3+x^4), x=0,60)); or Floretion Algebra Multiplication Program, FAMP Code: 4ibaseseq[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((1  x + 2*x^2) / (1  x^3 + x^4) + O(x^55)) \\ _Colin Barker_, May 11 2019
%Y Cf. A110061, A110063, A110064.
%K easy,sign
%O 0,3
%A _Creighton Dement_, Jul 10 2005
