%N Number of toothpicks and D-toothpicks after n-th stage in a D-toothpick "wide" triangle (see Comments lines for definition).
%C The D-toothpicks placed in northwest or northeast direction both are prohibited. Note that due this rule there are substructures with broken symmetry, for instance a(44) = 507, not 509. For another version without broken symmetry see A233780.
%C A233765 (the first differences) gives the number of toothpicks or D-toothpicks added at n-th stage.
%C First differs from A169780 at a(24).
%C First differs from A233970 at a(25).
%C First differs from A233780 at a(44).
%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>
%Y Cf. A139250, A169780, A220500, A220520, A231348, A233765, A233780, A233970.
%A _Omar E. Pol_, Dec 16 2013