A266809 Binary representation of the n-th iteration of the "Rule 62" elementary cellular automaton starting with a single ON (black) cell.

1, 111, 11001, 1101111, 110110001, 11011010111, 1101101111001, 110110110001111, 11011011010110001, 1101101101111010111, 110110110110001111001, 11011011011010110001111, 1101101101101111010110001, 110110110110110001111010111, 11011011011011010110001111001

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

Formula

a(n) = A007088(A266810(n)). - Antti Karttunen, Jan 03 2016

Mathematica

rule=62; 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 *) Table[FromDigits[catri[[k]]], {k, 1, rows}]   (* Binary Representation of Rows *)

Crossrefs

Cf. A007088, A071031, A266810.

Sequence in context: A287191 A353112 A245549 * A152764 A249183 A071033

Adjacent sequences: A266806 A266807 A266808 * A266810 A266811 A266812

Keyword

nonn,easy

Author

Robert Price, Jan 03 2016

Status

approved