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A220520 Number of toothpicks and D-toothpicks after n-th stage in the D-toothpick "wide" triangle of the third kind. 14

%I #36 Mar 11 2014 01:34:21

%S 0,1,3,7,11,15,19,27,35,39,43,51,63,79,91,107,123,127,131,139,151,167,

%T 187,211,237,261,273,293,325,365,393,425,457,461,465,473,485,501,521,

%U 545,571,595,615,647,691,755,807,855,909,944,961,981,1017,1065

%N Number of toothpicks and D-toothpicks after n-th stage in the D-toothpick "wide" triangle of the third kind.

%C The structure is essentially one of the vertical wedges of several D-toothpick structures. For more information see A220500. First differs from A194440 at a(14). The first differences (A220521) give the number of toothpicks or D-toothpicks added at n-th stage. See A220522 for the "narrow" triangle of the third kind.

%H Omar E. Pol, <a href="http://www.polprimos.com/imagenespub/poltp065.jpg">Illustration of the structure after 32 stages</a>

%H Omar E. Pol, <a href="http://www.polprimos.com/imagenespub/poltp069.jpg">Illustration of the structure after 64 stages</a>

%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. A047999, A139250, A194270, A194440, A194442, A220494, A220521, A220522.

%K nonn

%O 0,3

%A _Omar E. Pol_, Dec 15 2012

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