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A014710 The regular paper-folding (or dragon curve) sequence. 10
2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

REFERENCES

G. Melancon, Factorizing infinite words using Maple, MapleTech journal, vol. 4, no. 1, 1997, pp. 34-42, esp. p. 36.

LINKS

Ivan Panchenko, Table of n, a(n) for n = 0..10000

Index entries for sequences obtained by enumerating foldings

FORMULA

Set a=2, b=1, S(0)=a, S(n+1) = S(n)aF(S(n)), where F(x) reverses x and then interchanges a and b; sequence is limit S(infinity).

a(4n) = 2, a(4n+2) = 1, a(2n+1) = a(n).

PROG

(PARI) a(n)=if(n%2==0, 2-bitand(1, n\2), a(n\2) );

for(n=0, 122, print1(a(n), ", "))

CROSSREFS

See A014577 for more references and more terms.

The following are all essentially the same sequence: A014577, A014707, A014709, A014710, A034947, A038189, A082410. - N. J. A. Sloane, Jul 27 2012

Sequence in context: A285110 A192064 A225182 * A055174 A096369 A181810

Adjacent sequences:  A014707 A014708 A014709 * A014711 A014712 A014713

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified January 17 22:51 EST 2019. Contains 319251 sequences. (Running on oeis4.)