id:A126626 - OEIS Search Results

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

+0
2

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 (list; graph; listen)

	OFFSET	`0,4`
	COMMENT	`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 = 1..5000` `Creighton Dement, Notes on A126626 and A117154`
	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.`
	CROSSREFS	`Cf. A125141, A117154, A108618.` `Sequence in context: A058294 A082868 A154556 this_sequence A137927 A084311 A026490` `Adjacent sequences: A126623 A126624 A126625 this_sequence A126627 A126628 A126629`
	KEYWORD	`sign`
	AUTHOR	`Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Nov 21 2006`

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Last modified December 5 17:24 EST 2009. Contains 170342 sequences.

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