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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: A323018 A192064 A225182 * A055174 A096369 A102297

Adjacent sequences:  A014707 A014708 A014709 * A014711 A014712 A014713

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified October 19 13:01 EDT 2019. Contains 328222 sequences. (Running on oeis4.)