

A266898


Number of ON (black) cells in the nth iteration of the "Rule 75" elementary cellular automaton starting with a single ON (black) cell.


1



1, 1, 3, 4, 5, 5, 5, 9, 7, 10, 8, 14, 10, 17, 10, 18, 13, 19, 14, 24, 17, 27, 15, 28, 19, 33, 14, 39, 22, 35, 24, 36, 26, 40, 24, 50, 27, 42, 32, 48, 30, 57, 29, 56, 36, 58, 38, 58, 34, 70, 32, 68, 45, 63, 41, 73, 43, 74, 46, 82, 43, 85, 49, 79, 46, 90, 43
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OFFSET

0,3


REFERENCES

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


LINKS

Robert Price, Table of n, a(n) for n = 0..1000
Eric Weisstein's World of Mathematics, Elementary Cellular Automaton
S. Wolfram, A New Kind of Science
Index entries for sequences related to cellular automata
Index to Elementary Cellular Automata


MATHEMATICA

rule=75; rows=20; ca=CellularAutomaton[rule, {{1}, 0}, rows1, {All, All}]; (* Start with single black cell *) catri=Table[Take[ca[[k]], {rowsk+1, rows+k1}], {k, 1, rows}]; (* Truncated list of each row *) Table[Total[catri[[k]]], {k, 1, rows}] (* Number of Black cells in stage n *)


CROSSREFS

Cf. A266892.
Sequence in context: A239669 A185220 A120677 * A098200 A092405 A130234
Adjacent sequences: A266895 A266896 A266897 * A266899 A266900 A266901


KEYWORD

nonn,easy


AUTHOR

Robert Price, Jan 05 2016


STATUS

approved



