Geodesic
Generalizing the Conway-Hofstadter $10,000 sequence
Journal of integer sequences, Tome 7 (2004) no. 3.

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Summary: We introduce a generalization of the Conway-Hofstadter $10,000 sequence. The sequences introduced, called $k-sequences$, preserve the Conway-Hofstadter-Fibonacci-like structure of forming terms in the sequence by adding together two previous terms, equidistant from the start and end of the sequence. We examine some particular $k$-sequences, investigate relationships to known integer sequences, establish some properties which hold for all $k$, and show how to solve many of the defining nonlinear recursions by examining related underlying sequences termed $clock$ sequences.$
Keywords: conway-hofstadter, Fibonacci sequence, nonlinear recursion 
@article{JIS_2004__7_3_a7,
     author = {Pelesko, John A.},
     title = {Generalizing the {Conway-Hofstadter} $10,000 sequence},
     journal = {Journal of integer sequences},
     publisher = {mathdoc},
     volume = {7},
     number = {3},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2004__7_3_a7/}
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Pelesko, John A. Generalizing the Conway-Hofstadter $10,000 sequence. Journal of integer sequences, Tome 7 (2004) no. 3. http://geodesic.mathdoc.fr/item/JIS_2004__7_3_a7/