A video illustrating the Recamán sequence OEIS A005132. We use an arc above the line to join successive terms if the latter term is even, and below if odd. The most current curve appears in violet, with the rest of the spectrum remapping across all previous curves as n increases. Tempo is 6 beats per second. The music that accompanies this illustration is generated by the sequence. The tones of piano keys are offset from middle C by k halftones, where k = [a(n) mod 64] − 24. a(n) greater than 2 a(n − 1) are accompanied by timpani out of phase with the increment. Record-setting a(n) are accentuated by splash cymbal. Runs greater than 1 of successive ascending or descending a(n) trigger a hi hat. Declining a(n) are accompanied by bass drum, sounds like a heartbeat. Enjoy!
