%I #14 Sep 26 2015 01:17:13

%S 0,0,0,0,2,8,14,16,26,38,46,48,56,72,102

%N Total number of polygons after n-th stage in the D-toothpick structure of A194270.

%C The structure of the D-toothpick cellular automaton contains at least several tens of different types of polygons. For more information see A194276 and A194277.

%H N. J. A. Sloane, <a href="/wiki/Catalog_of_Toothpick_and_CA_Sequences_in_OEIS">Catalog of Toothpick and Cellular Automata Sequences in the OEIS</a>

%H <a href="/index/To#toothpick">Index entries for sequences related to toothpick sequences</a>

%e Consider the structure with toothpicks of length 2 and D-toothpicks of length sqrt(2). After 3 stages the number of polygons in the structure is equal to 0. After 4 stages there are 2 hexagons, each with area = 6, so a(4) = 2. After 5 stages there are new 6 polygons: 2 hexagons, each with area = 8 and also 2 octagons, each with area = 14, so a(5) = 2+6 = 8.

%Y Cf. A160124, A170926, A161418, A161828, A161836, A194270, A194276, A194277.

%K nonn,more

%O 0,5

%A _Omar E. Pol_, Aug 26 2011