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Date: 22-2-2020
908
Date: 27-8-2020
866
Date: 18-5-2020
810
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Define and and write
where the sequence consists of those integers not already contained in . For example, , so the next term of is , giving . The next integer is 5, so and . Continuing in this manner gives the "figure" sequence as 1, 3, 7, 12, 18, 26, 35, 45, 56, ... (OEIS A005228) and the "space" sequence as 2, 4, 5, 6, 8, 9, 10, 11, 13, 14, ... (OEIS A030124).
REFERENCES:
Hofstadter, D. R. Gödel, Escher, Bach: An Eternal Golden Braid. New York: Vintage Books, p. 73, 1989.
Sloane, N. J. A. Sequences A005228/M2629 and A030124 in "The On-Line Encyclopedia of Integer Sequences."
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