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A343181
Binary word formed from first 2^n-1 terms of paper-folding sequence A014577.
3
1, 110, 1101100, 110110011100100, 1101100111001001110110001100100, 110110011100100111011000110010011101100111001000110110001100100
OFFSET
1,2
COMMENTS
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.
This appears on the first page of Davis-Knuth (1970/2010) and in many subsequent papers on paper-folding.
a(7) is too large to include in the DATA section.
REFERENCES
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.
Rémy Sigrist and N. J. A. Sloane, Two-Dimensional Paper-Folding, Manuscript in preparation, May 2021.
CROSSREFS
When converted to base 10 we get A337580.
Sequence in context: A371032 A192844 A234512 * A028673 A138280 A282069
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, May 05 2021
STATUS
approved