cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A266534 Total number of ON cells after n-th stage in a 90-degree sector of the cellular automaton of A151895.

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%I A266534 #29 Oct 10 2022 09:38:03
%S A266534 0,1,2,3,6,7,10,13,16,21,24,29,36,37,40,43,46,53,58,65,74,83,96,107,
%T A266534 120,133,136,143,150,157,168,179,190,209,226,247,258,271,286,299,314,
%U A266534 327,334,349,364,381,406,417,434,455,470,493,514,533,562,583,608,631,646,661,680,703,736,761,782,807,836,857,892,927
%N A266534 Total number of ON cells after n-th stage in a 90-degree sector of the cellular automaton of A151895.
%C A266534 The structure looks like a tree which arises from one of the four spokes of the structure of the cellular automaton of A151895.
%C A266534 a(n) is the total number of ON cells after n-th stage.
%C A266534 For n >> 1 the structure looks like a square which is rotated 45 degrees.
%C A266534 First differs from A161336 (snowflake tree) at a(16).
%C A266534 First differs from A266536 at a(13). - _Omar E. Pol_, Apr 02 2016
%H A266534 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 A266534 <a href="/index/Ce#cell">Index entries for sequences related to cellular automata</a>
%H A266534 <a href="/index/To#toothpick">Index entries for sequences related to toothpick sequences</a>
%F A266534 a(n) = (A151895(n+1) - 1)/4.
%Y A266534 Cf. A151895, A161330, A161336, A169779, A266536, A267700.
%K A266534 nonn
%O A266534 0,3
%A A266534 _Omar E. Pol_, Jan 12 2016
%E A266534 More terms from _Omar E. Pol_, Apr 02 2016