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.

A266383 Total number of ON (black) cells after n iterations of the "Rule 22" elementary cellular automaton starting with a single ON (black) cell.

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%I A266383 #9 Feb 16 2025 08:33:28
%S A266383 1,4,6,12,14,20,24,36,38,44,48,60,64,76,84,108,110,116,120,132,136,
%T A266383 148,156,180,184,196,204,228,236,260,276,324,326,332,336,348,352,364,
%U A266383 372,396,400,412,420,444,452,476,492,540,544,556,564,588,596,620,636
%N A266383 Total number of ON (black) cells after n iterations of the "Rule 22" elementary cellular automaton starting with a single ON (black) cell.
%D A266383 S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55.
%H A266383 Robert Price, <a href="/A266383/b266383.txt">Table of n, a(n) for n = 0..1000</a>
%H A266383 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/ElementaryCellularAutomaton.html">Elementary Cellular Automaton</a>
%H A266383 <a href="/index/Ce#cell">Index entries for sequences related to cellular automata</a>
%H A266383 <a href="https://oeis.org/wiki/Index_to_Elementary_Cellular_Automata">Index to Elementary Cellular Automata</a>
%t A266383 rule=22; rows=60; ca=CellularAutomaton[rule,{{1},0},rows-1,{All,All}]; (* Start with single black cell *) catri=Table[Take[ca[[k]],{rows-k+1,rows+k-1}],{k,1,rows}]; (* Truncated list of each row *) nbc=Table[Total[catri[[k]]],{k,1,rows}]; (* Number of Black cells in stage n *) Table[Total[Take[nbc,k]],{k,1,rows}] (* Number of Black cells through stage n *)
%Y A266383 Cf. A071029.
%K A266383 nonn,easy
%O A266383 0,2
%A A266383 _Robert Price_, Dec 28 2015