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A floretion-generated sequence based on the iterative procedure defined in the link given.
2

%I #10 Jan 20 2018 12:23:23

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

%T -7,4,-5,4,-3,4,-1,4,1,2,3,0,5,-2,7,-4,9,-6,11,-8,13,-8,11,-8,9,-8,7,

%U -8,5,-8,3,-8,1,-8,-1,-6,-3,-4,-5,-2,-7,0,-9,2,-11,4,-13,6,-15,8,-17,10,-19,12,-17,12,-15,12,-13,12,-11,12,-9,12,-7,12

%N A floretion-generated sequence based on the iterative procedure defined in the link given.

%C Changing Step 4 in this sequence results in A117154 (see link). Plotting against A125141 returns an "elliptic spiral". As music (example settings): Compute pitch by scaling: 11-66, perform division operation. Compute duration by scaling: 0-2, perform division operation

%H Creighton Dement, <a href="/A126626/b126626.txt">Table of n, a(n) for n = 0..5000</a>

%H Creighton Dement, <a href="/A126626/a126626.txt">Notes on A126626 and A117154</a>

%F This sequence is calculated by noting the coefficient of the unit basis vector of the floretion Y after each iteration (see link for further details). Note: this basis vector may also be represented as the unit 4 X 4 matrix.

%Y Cf. A125141, A117154, A108618.

%K sign,hear,look

%O 0,4

%A _Creighton Dement_, Nov 21 2006