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 A194432 D-toothpick sequence starting with a cross formed by 4 toothpicks. 8
 0, 4, 12, 28, 44, 60, 88, 136, 168, 184, 216 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS On the infinite square grid we start with no toothpicks. At stage 1, we place a cross, centered at the origin, formed by 2 vertical toothpicks and 2 horizontal toothpicks of length 1. At stage 2, we place 8 D-toothpicks of length sqrt(2). At stage 3, we place 16 toothpicks of length 1. And so on. The sequence gives the number of toothpicks and D-toothpicks in the structure after n-th stage. The first differences (A194433) give the number of toothpicks and D-toothpicks added at n-th stage. Apparently this cellular automaton has a fractal behavior (or like-fractal behavior) related to power of 2, similar to A194270 and very similar to A194434. The octagonal structure contains a large number of distinct polygonal shapes. For more information see A194270, A194440 and A194442. LINKS N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS CROSSREFS Cf. A139250, A194270, A194433, A194434, A194440, A194442. Sequence in context: A064444 A072182 A009906 * A220512 A194434 A220514 Adjacent sequences:  A194429 A194430 A194431 * A194433 A194434 A194435 KEYWORD nonn,more AUTHOR Omar E. Pol, Sep 03 2011 STATUS approved

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Last modified September 16 06:38 EDT 2019. Contains 327090 sequences. (Running on oeis4.)