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A343181 Binary word formed from first 2^n-1 terms of paper-folding sequence A014577. 3

%I #10 May 06 2021 12:03:56

%S 1,110,1101100,110110011100100,1101100111001001110110001100100,

%T 110110011100100111011000110010011101100111001000110110001100100

%N Binary word formed from first 2^n-1 terms of paper-folding sequence A014577.

%C 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.

%C This appears on the first page of Davis-Knuth (1970/2010) and in many subsequent papers on paper-folding.

%C a(7) is too large to include in the DATA section.

%D 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.

%D Rémy Sigrist and N. J. A. Sloane, Two-Dimensional Paper-Folding, Manuscript in preparation, May 2021.

%Y When converted to base 10 we get A337580.

%Y Cf. A014577, A343182.

%K nonn

%O 1,2

%A _N. J. A. Sloane_, May 05 2021

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Last modified April 24 14:32 EDT 2024. Contains 371960 sequences. (Running on oeis4.)