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A255263 Differences between the total number of ON cells at stage n of two-dimensional cellular automaton defined by "Rule 750" using the von Neumann neighborhood and the total number of toothpicks in the toothpick structure A139250 that are parallel to the initial toothpick, after n odd rounds.

%I A255263 #20 Feb 28 2015 14:21:38
%S A255263 0,0,0,0,0,0,4,0,0,0,4,0,4,12,20,0,0,0,4,0,4,12,20,0,4,12,20,12,36,80,
%T A255263 68,0,0,0,4,0,4,12,20,0,4,12,20,12,36,80,68,0,4,12,20,12,36,80,68,12,
%U A255263 36,80,84,96,208,352,196,0,0,0,4,0,4,12,20,0,4,12,20,12,36,80,68,0,4,12,20,12,36,80,68,12,36,80
%N A255263 Differences between the total number of ON cells at stage n of two-dimensional cellular automaton defined by "Rule 750" using the von Neumann neighborhood and the total number of toothpicks in the toothpick structure A139250 that are parallel to the initial toothpick, after n odd rounds.
%C A255263 It appears that the graph of A162795 lies between the graphs of A147562 and A169707.
%C A255263 It appears that a(n) = 0 if and only if n is a member of A048645.
%H A255263 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 A255263 <a href="/index/Ce#cell">Index entries for sequences related to cellular automata</a>
%F A255263 a(n) = A169707(n) - A162795(n).
%e A255263 Written as an irregular triangle T(j,k), k>=1, in which the row lengths are the terms of A011782:
%e A255263 0;
%e A255263 0;
%e A255263 0,0;
%e A255263 0,0,4,0;
%e A255263 0,0,4,0,4,12,20,0;
%e A255263 0,0,4,0,4,12,20,0,4,12,20,12,36,80,68,0;
%e A255263 0,0,4,0,4,12,20,0,4,12,20,12,36,80,68,0,4,12,20,12,36,80,68,12,36,80,84,96,208,352,196,0;
%e A255263 ...
%e A255263 It appears that if k is a power of 2 then T(j,k) = 0.
%Y A255263 Cf. A011782, A048645, A139250, A160164, A162796, A169707, A147562, A255166, A255264.
%K A255263 nonn,tabf
%O A255263 1,7
%A A255263 _Omar E. Pol_, Feb 19 2015