%I
%S 0,1,3,5,9,11,15,21,29,31,35,41,51,61,69,83,99,101,105,111,121,131,
%T 141,159,183,201,209,223,245,271,287,317,349,351,355,361,371,381,391,
%U 409,433,451,461,479,507,545,575,625,679,713,721,735,757,783
%N Number of toothpicks and Dtoothpicks after nth stage in a Dtoothpick "wide" triangle (see Comments lines for definition).
%C The Dtoothpicks 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 Dtoothpicks added at nth 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.
%K nonn
%O 0,3
%A _Omar E. Pol_, Dec 16 2013
