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This appears on the first page of Davis-Knuth (1970/2010) and in many subsequent papers on paper-folding.
Chandler Davis and Donald E. Knuth, Number Representations and Dragon Curves -- I and II, Journal of Recreational Mathematics, volume 3, number 2, April 1970, pages 66-81, and number 3, July 1970, pages 133-149. Reprinted in Donald E. Knuth, Selected Papers on Fun and Games, CSLI Publications, 2010, pages 571-614.
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a(7) is too large to include in the DATA section.
Rémy Sigrist and N. J. A. Sloane, Two-Dimensional Paper-Folding, Manuscript in preparation, May 2021.
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qqqq
Binary word formed from first 2^n-1 terms of paper-folding sequence A014577.
1, 110, 1101100, 110110011100100, 1101100111001001110110001100100, 110110011100100111011000110010011101100111001000110110001100100, 1101100111001001110110001100100111011001110010001101100011001001110110011100100111011000110010001101100111001000110110
Take a sheet of paper, and fold the right edge up and onto the left edge. Do this n times. and unfold. Write a 1 for every valley and a 0 for every ridge.
allocated for N. J. A. Sloane
qqqq
1, 110, 1101100, 110110011100100, 1101100111001001110110001100100, 110110011100100111011000110010011101100111001000110110001100100, 110110011100100111011000110010011101100111001000110110001100100111011001110010011101100011001000110110011100100011011000
1,2
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nonn
N. J. A. Sloane, May 05 2021
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