A126626 A floretion-generated sequence based on the iterative procedure defined in the link given.

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, -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, -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

Offset: 0

Author

Creighton Dement, Nov 21 2006

Keywords

• sign
• hear
• look

Comments

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

Links

• Creighton Dement, Table of n, a(n) for n = 0..5000
• Creighton Dement, Notes on A126626 and A117154
• Creighton Dement, Floretions 2009, DRAFT. See section 4.1 Algorithms.

Crossrefs

Cf. A125141, A117154, A108618.

Formula

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.