A117153 The floretion + .25'i + .25'j + .25'k + .25i' + .25j' + .25k' + .25'ii' + .25'jj' + .25'kk' + .25'ij' + .25'ik' + .25'ji' + .25'jk' + .25'ki' + .25'kj' + .25e.

3, -3, 9, -12, -15, 0, 33, -42, -36, 30, 15, -54, -6, 63, -63, -15, 54, -36, -42, 24, -12, -15, 33, -36, 12, 39, -30, 3, 15, 27, 39, 9, 54, 12, 33, 51, 18, 99, 60, 0, 87, 84, 36, 60, 96, 45, 102, 93, 42, 93, 111, 57, 114, 129, 57, 132, 138, 78, 81, 165, 81

Offset: 1

Author

Creighton Dement, Apr 21 2006

Keywords

• sign
• hear

Comments

The precise definition of this sequence seems to have been lost. The sequence stays in the OEIS, however, for historical reasons, because it is mentioned in the "Music" web page, and because we hope that one day the definition will be recovered. - N. J. A. Sloane, Jan 09 2011.

This is one of several sequence that were listed on my website at the time. These were in large part only posted as examples of simple floretion algorithms with various parameters set and not yet actually meant to be published. The definition would have been very similar to that of A108618. See especially Step 2, Loop 1: Add the fractional parts of the real coefficient basis vectors of x*y. - Creighton Dement, Jan 03 2018

Links

• Creighton Dement, First 1001 terms
• Creighton Dement, Floretion Online Multiplier [broken link].

Crossrefs

Cf. A108618.