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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 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(4*n) = 2, a(4*n+2) = 1, a(2*n+1) = a(n). MATHEMATICA Nest[Append[#1, If[EvenQ[#2], 2 - BitAnd[1, #2/2], #1[[Ceiling[#2/2]]]]] & @@ {#, Length@ #} &, {2}, 105] (* Michael De Vlieger, Apr 08 2021 *) PROG (PARI) a(n)=if(n%2==0, 2-bitand(1, n\2), a(n\2) ); for(n=0, 122, print1(a(n), ", ")) (Python) def A014710(n):     s = bin(n+1)[2:]     m = len(s)     i = s[::-1].find('1')     return 2-int(s[m-i-2]) if m-i-2 >= 0 else 2 # Chai Wah Wu, Apr 08 2021 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 A332289 Adjacent sequences:  A014707 A014708 A014709 * A014711 A014712 A014713 KEYWORD nonn AUTHOR STATUS approved

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Last modified May 8 21:32 EDT 2021. Contains 343668 sequences. (Running on oeis4.)