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.
- Grimm's Conjecture
- Grinberg Formula
- Groemer Packing
- Groemer Theorem
- Gronwall's Theorem
- Gross
- Grossman's Constant
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- Grothendieck's Theorem
- Ground Set
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- Groupoid
- Group Orthogonality Theorem
- Group Ring
- Group Theory
- Growth
- Growth Function
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- Gudermannian Function