Hofstadter Male-Female Sequences
The pair of sequences defined by 
, 
, and
 |  |  | |
 | |  |
The first few terms of the ``male'' sequence
are 0, 1, 2, 2, 3, 4, 4, 5, 6, 6, 7, 7, 8, 9, 9, ...(Sloane's A005379), and the first few terms of the ``female'' sequence 
are 1, 2, 2, 3, 3, 4, 5, 5, 6, 6, 7, 8, 8, 9, 9,... (Sloane's A005378).
References
Hofstadter, D. R. Gödel, Escher, Bach: An Eternal Golden Braid. New York: Vintage Books, p. 137, 1989. Sloane, N. J. A. SequencesA005378/M0263and A005379/M0278in ``An On-Line Version of the Encyclopedia of Integer Sequences.''http://www.research.att.com/~njas/sequences/eisonline.html and Sloane, N. J. A. and Plouffe, S.The Encyclopedia of Integer Sequences. San Diego: Academic Press, 1995.
- Waring's Sum Conjecture
- Waring's Theorem
- Watchman Theorem
- Watson-Nicholson Formula
- Watson Quintuple Product Identity
- Watson's Formula
- Watson's Theorem
- Watt's Curve
- Watt's Parallelogram
- Wave
- Wave Equation
- Wavelet
- Wavelet Matrix
- Wavelet Transform
- Wave Operator
- Wave Surface
- Weak Convergence
- Weak Law of Large Numbers
- Weakly Binary Tree
- Weakly Complete Sequence
- Weakly Independent
- Weakly Triple-Free Set
- Weber Differential Equations
- Weber Functions
- Weber's Discontinuous Integrals