Hofstadter Male-Female Sequences

The pair of sequences defined by , , and

			(1)
			(2)

The first few terms of the "male" sequence  for , 1, ... are 0, 0, 1, 2, 2, 3, 4, 4, 5, 6, 6, 7, 7, 8, 9, 9, ... (OEIS A005379), and of the "female" sequence  are 1, 1, 2, 2, 3, 3, 4, 5, 5, 6, 6, 7, 8, 8, 9, 9, ... (OEIS A005378).

REFERENCES:

Hofstadter, D. R. Gödel, Escher, Bach: An Eternal Golden Braid. New York: Vintage Books, p. 137, 1989.

Sloane, N. J. A. Sequences A005378/M0263 and A005379/M0278 in "The On-Line Encyclopedia of Integer Sequences."