

A266900


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


1



0, 2, 2, 3, 4, 6, 8, 6, 10, 9, 13, 9, 15, 10, 19, 13, 20, 16, 23, 15, 24, 16, 30, 19, 30, 18, 39, 16, 35, 24, 37, 27, 39, 27, 45, 21, 46, 33, 45, 31, 51, 26, 56, 31, 53, 33, 55, 37, 63, 29, 69, 35, 60, 44, 68, 38, 70, 41, 71, 37, 78, 38, 76, 48, 83, 41, 90
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

0,2


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 *) nbc=Table[Total[catri[[k]]], {k, 1, rows}]; (* Number of Black cells in stage n *) Table[Length[catri[[k]]]nbc[[k]], {k, 1, rows}] (* Number of White cells in stage n *)


CROSSREFS

Cf. A266892.
Sequence in context: A213816 A065417 A005860 * A114541 A077114 A118246
Adjacent sequences: A266897 A266898 A266899 * A266901 A266902 A266903


KEYWORD

nonn,easy


AUTHOR

Robert Price, Jan 05 2016


STATUS

approved



