A262805 - OEIS

A262805

Triangle read by rows giving successive states of cellular automaton generated by "Rule 145" initiated with a single ON (black) cell.

1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1

(list; graph; refs; listen; history; text; internal format)

OFFSET

COMMENTS

Row n has length 2n+1.

REFERENCES

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

LINKS

Robert Price, Table of n, a(n) for n = 0..10000

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

EXAMPLE

The first ten rows:

0 0 1

0 1 0 0 1

0 0 0 1 0 0 1

0 1 1 0 0 1 0 0 1

0 0 0 0 1 0 0 1 0 0 1

0 1 1 1 0 0 1 0 0 1 0 0 1

0 0 0 1 0 1 0 0 1 0 0 1 0 0 1

0 1 1 0 0 0 0 1 0 0 1 0 0 1 0 0 1

0 0 0 0 1 1 1 0 0 1 0 0 1 0 0 1 0 0 1

MATHEMATICA

rule=145; rows=20; 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 *) Flatten[catri] (* Triangle Representation of CA *)

CROSSREFS

Sequence in context: A260552 A373307 A244612 * A213728 A105367 A232990

Adjacent sequences: A262802 A262803 A262804 * A262806 A262807 A262808

KEYWORD

nonn,tabf,easy

AUTHOR

Robert Price, Jan 17 2016

STATUS

approved