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A160167
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Total number of single toothpicks after n-th stage in the Y-toothpick structure of A160120.
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2
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0, 3, 12, 21, 48, 57, 84, 111, 174, 201, 228, 255, 318, 363, 426, 507, 660, 741, 768, 795, 858, 903, 966, 1047, 1200, 1299, 1362, 1443, 1596, 1749, 1920, 2127, 2478, 2721, 2784, 2811, 2874, 2919, 2982, 3063, 3216, 3315, 3378, 3459, 3612, 3765, 3936, 4143, 4494, 4755, 4854, 4935
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OFFSET
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0,2
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COMMENTS
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Also, replace the Y-toothpick with the "three-diamonds" symbol, so we have a new cellular automaton in which a(n) counts the total number of diamonds in the structure after the n-th stage, A160120 also gives the total number of "three-diamonds" symbols after the n-th stage, and A253770 gives the total number of triangular ON cells after the n-th stage. - Omar E. Pol, Feb 10 2015
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LINKS
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FORMULA
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EXAMPLE
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After one generation, also, the cellular automaton looks like a star or a flower with three petals as shown below:
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. /\
. _\/_
. /_/\_\
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There are six ON cells and three diamonds, so a(1) = 3.
(End)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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