cp's OEIS Frontend

A293392 Total number of ON cells after n-th stage in a 90-degree sector of the cellular automaton of A267190.

%I A293392 #23 Oct 21 2017 21:07:53
%S A293392 0,1,2,3,6,7,10,13,16,21,24,29,36,37,40,43,48,55,60,69,78,89,100,109,
%T A293392 122,135,138,145,152,161,172,183,200,217,236,255,270,287,304,319,336,
%U A293392 349,358,375,392,413,438,457,476,499,514,535,556,579,612,637,670,699,722,741,760,787,822,847,872,897,930,953,992
%N A293392 Total number of ON cells after n-th stage in a 90-degree sector of the cellular automaton of A267190.
%C A293392 The structure looks like a tree which arises from one of the four spokes of the structure of the cellular automaton of A267190.
%C A293392 a(n) is the total number of ON cells after n-th stage.
%C A293392 For n >> 1 the structure looks like a square which is rotated 45 degrees.
%C A293392 First differs from A161336 at a(17), where A161336 is a version of A161330 (the snowflake cellular automaton).
%C A293392 First differs from A266534 at a(16), where A266534 is a version of A151895.
%C A293392 First differs from A266536 at a(13), where A266536 is a version of A170896 (the Schrandt-Ulam cellular automaton).
%C A293392 From _Omar E. Pol_, Oct 16 2017: (Start)
%C A293392 The graph of both A266536 and this sequence are very similar.
%C A293392 For n >> 1, it appears that A266534(n) < A161336(n) < a(n) < A266536(n).
%C A293392 The graphs of these four sequences are similar, and the behavior looks like percolation.
%C A293392 It appears that there are no recurrences in these four sequences. Thus it appears that there are no recurrences in A151895, A161330, A267190 and A170896. (End)
%H A293392 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 A293392 <a href="/index/Ce#cell">Index entries for sequences related to cellular automata</a>
%H A293392 <a href="/index/To#toothpick">Index entries for sequences related to toothpick sequences</a>
%F A293392 a(n) = (A267190(n+1) - 1)/4.
%Y A293392 Cf. A151895, A161330, A161336, A170896, A266534, A266536, A267190, A267700.
%K A293392 nonn
%O A293392 0,3
%A A293392 _Omar E. Pol_, Oct 08 2017