A265206 Total number of ON (black) cells after n iterations of the "Rule 73" elementary cellular automaton starting with a single ON (black) cell.

1, 1, 4, 4, 11, 13, 18, 20, 29, 35, 40, 50, 63, 69, 80, 90, 105, 115, 134, 144, 167, 177, 194, 214, 233, 249, 274, 292, 311, 331, 356, 370, 407, 427, 454, 480, 515, 535, 572, 602, 643, 667, 700, 736, 775, 801, 846, 882, 919, 957, 998, 1034, 1083, 1127, 1156

Offset: 0

Author

Robert Price, Dec 04 2015

Keywords

• nonn
• easy

References

• S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55.

Links

• Robert Price, Table of n, a(n) for n = 0..999
• Eric Weisstein's World of Mathematics, Elementary Cellular Automaton
• Index entries for sequences related to cellular automata
• Index to Elementary Cellular Automata

Crossrefs

Cf. A245549, A262448, A265122, A265156, A265205.

Programs

Mathematica

rule = 73; rows = 30; Table[Total[Take[Table[Total[Table[Take[CellularAutomaton[rule,{{1},0},rows-1,{All,All}][[k]],{rows-k+1,rows+k-1}],{k,1,rows}][[k]]],{k,1,rows}],k]],{k,1,rows}]