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A floretion-generated sequence calculated using the same rules given for A108618 with initial seed x = + .5'i + .5'ii' + .5'ij' + .5'ik'; version: "basei".
5

%I #12 Mar 11 2024 20:53:43

%S 0,-1,-1,-1,0,1,2,2,1,0,-5,-5,-6,-5,-1,1,7,6,6,4,-3,-3,-9,-9,-8,-6,0,

%T 3,7,7,7,4,-3,-5,-10,-9,-10,-2,-1,6,12,7,12,0,-1,-8,-15,-11,-14,-2,0,

%U 9,13,9,13,-1,-4,-10,-18,-12,-17,-3,2,10,18,14,17,3,-4,-14,-22,-20,-21,-7,2,14,22,22,21,7,-4,-18,-26,-28,-25,-11,2,18

%N A floretion-generated sequence calculated using the same rules given for A108618 with initial seed x = + .5'i + .5'ii' + .5'ij' + .5'ik'; version: "basei".

%C The initial seed + .5'i + .5'ii' + .5'ij' + .5'ik' can be seen as an element of the space Q X C_3 where Q are the quaternions.

%C Floretion Algebra Multiplication Program, FAMP Code: 2baseisumseq[ + .5'i + .5'ii' + .5'ij' + .5'ik']. SumType is set to: sum[Y[15]]

%H Creighton Dement, <a href="/A110281/b110281.txt">Table of n, a(n) for n = 0..10000</a>

%Y Cf. A108618, A110279, A110280, A110282, A110283.

%K easy,sign

%O 0,7

%A _Creighton Dement_, Jul 18 2005