A366424 - OEIS

A366424

The Bo Diddley beat. Periodic musical rhythm, embedded into a sequence of measured regular units of duration for both notes and rests. All terms except a(4 + 6*k) = 2 mark the lengths of notes. a(4 + 6*k) = 2 being a single rest of length 2 within each period of 6, where k >= 0.

3, 3, 2, 2, 2, 4, 3, 3, 2, 2, 2, 4, 3, 3, 2, 2, 2, 4, 3, 3, 2, 2, 2, 4, 3, 3, 2, 2, 2, 4, 3, 3, 2, 2, 2, 4, 3, 3, 2, 2, 2, 4, 3, 3, 2, 2, 2, 4, 3, 3, 2, 2, 2, 4, 3, 3, 2, 2, 2, 4, 3, 3, 2, 2, 2, 4, 3, 3, 2, 2, 2, 4, 3, 3, 2, 2, 2, 4, 3, 3, 2, 2, 2, 4, 3, 3, 2, 2, 2, 4, 3, 3, 2, 2, 2, 4

(list; constant; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Music and mathematics are closely related, and an iconic form may perhaps deserve an entry in this encyclopedia.

The continued fraction expansion of (1/362)*(555 + 3*sqrt(5*71*127)). - Thomas Scheuerle, Oct 13 2023

LINKS

Table of n, a(n) for n=1..96.

Wikipedia, Bo Diddley beat.

FORMULA

Period 6: repeat 3, 3, 2, 2, 2, 4.

Decimal expansion of 332224/(10^6-1) = (-1600*0.110001-123)/(900*0.110001-999). - Thomas Scheuerle, Oct 13 2023