%I
%S 3,0,0,2,1,0,2,1,1,2,0,1,3,1,3,0,0,1,3,3,4,5,2,6,9,1,3,5,1,0,1,
%T 1,5,3,1,8,4,2,8,2,2,6,1,2,5,0,3,5,1,2,4,2,2,0,4,1,4,6,3,
%U 8,7,4,8,5,6,7,3,7,6,3,8,8,2,8,8,4,6,5,4,4,3,3,1,0,3,2,1,3,3,2,5,6,4,6,8,5,6,10
%N A floretiongenerated sequence calculated using the rules given for A108618 with initial seed x = + .25'i + .25'k + .25i'  .5j' + .75k'  .25'ij'  .25'ji'  .25'jk' + .25'kj'  .5e; version: basek.
%C "Version: basek" in the name field is a reference to the floretion k'. It means that in order to calculate a(n), the rule given for A108618: "a(n) is given by twice the coefficient of e (the unit) in y from step 4 inside of the nth loop." should be replaced by "a(n) is given by 4 times the coefficient of k' in y from step 4 inside of the nth loop." This sequence appears to be unbounded. Moreover, (a(n)) produces a "spiral" when plotted against sequences from the same batch (i.e. against versions: tes, ves etc.). Raytraced plots similar to the one given in the link can be formed using this sequence (for example). (a(n)) appears to become more "predictable" with increasing n. For n in the range from 987 to 1000 we have: a(987) = 59, a(988) = 112, a(989) = 52, a(990) = 55, a(991) = 108, a(992) = 51, a(993) = 53, a(994) = 109, a(995) = 55, a(996) = 51, a(997) = 107, a(998) = 54, a(999) = 50, a(1000) = 109
%H Creighton Dement, <a href="http://fumba.eu">Floretion Online Multiplier</a>.
%o Floretion Algebra Multiplication Program, FAMP Code: 4baseksumseq[(+ .5'i  .25'j + .25'k + .5i'  .25j' + .25k'  .5'ii'  .25'ij'  .25'ik'  .25'ji'  .25'ki'  .5e)(+ .5'i + .5j' + .5'ij' + .5e)] Sumtype is set to: sum[Y[15]] = sum[ * ]
%Y Cf. A108618.
%K easy,sign
%O 0,1
%A _Creighton Dement_, Jul 26 2005
