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 A229217 If 1 and 2 represent the 2D vectors (1,0) and (0,1) and -1 and -2 are the negation of these vectors, then this sequence represents the Koch curve. 2
 1, 2, 1, -2, 1, 2, -1, 2, 1, 2, 1, 2, 1, -2, 1, -2, 1, -2, -1, -2, 1, 2, 1, -2, 1, 2, -1, 2, 1, 2, -1, -2, -1, 2, -1, 2, -1, 2, 1, 2, 1, 2, 1, -2, 1, 2, -1, 2, 1, 2, 1, 2, 1, -2, 1, 2, -1, 2, 1, 2, 1, 2, 1, -2, 1, -2, 1, -2, -1, -2, 1, 2, 1, -2, 1, -2, 1, -2, -1, -2, 1, 2, 1, -2, 1, -2, 1, -2, -1, -2, -1, -2, -1, 2, -1, -2, 1, -2, -1, -2, 1, 2, 1, -2, 1, 2, -1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The sequence is generated by the rewriting rules: P(1) = 1,2,1,-2,1; P(2) = 2,-1,2,1,2 and P(-1) = -1,-2,-1,2,-1; P(-2) = -2,1,-2,-1,-2, so P(-x)=-P(x). The start is 1. LINKS Arie Bos, Index notation of grid graphs, arXiv:1210.7123 [cs.CG], 2012. Wikipedia, Koch curve EXAMPLE Start with 1, you get in the first step 1,2,1,-2,1, and in the 2nd step 1,2,1,-2,1,2,-1,2,1,2,1,2,1,-2,1,-2,1,-2,-1,-2,1,2,1,-2,1. With each step the length increases by a factor 5. CROSSREFS Coordinates: A332249, A332250. Cf. A229216, A166253. Sequence in context: A000034 A040001 A134451 * A167965 A270370 A167966 Adjacent sequences:  A229214 A229215 A229216 * A229218 A229219 A229220 KEYWORD sign AUTHOR Arie Bos, Sep 25 2013 STATUS approved

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Last modified April 11 06:00 EDT 2021. Contains 342886 sequences. (Running on oeis4.)