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A108930 A floretion-generated 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. 0

%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 floretion-generated 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 n-th loop." should be replaced by "a(n) is given by 4 times the coefficient of k' in y from step 4 inside of the n-th 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.). Ray-traced 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

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Last modified October 18 08:03 EDT 2019. Contains 328146 sequences. (Running on oeis4.)