

A160167


Total number of single toothpicks after nth stage in the Ytoothpick structure of A160120.


2



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

0,2


COMMENTS

Also, replace the Ytoothpick with the "threediamonds" symbol, so we have a new cellular automaton in which a(n) counts the total number of diamonds in the structure after the nth stage, A160120 also gives the total number of "threediamonds" symbols after the nth stage, and A253770 gives the total number of triangular ON cells after the nth stage.  Omar E. Pol, Feb 10 2015


LINKS



FORMULA



EXAMPLE

After one generation, also, the cellular automaton looks like a star or a flower with three petals as shown below:
.
. /\
. _\/_
. /_/\_\
.
There are six ON cells and three diamonds, so a(1) = 3.
(End)


CROSSREFS



KEYWORD

nonn


AUTHOR



EXTENSIONS



STATUS

approved



