A266810 Decimal representation of the n-th iteration of the "Rule 62" elementary cellular automaton starting with a single ON (black) cell.

1, 7, 25, 111, 433, 1751, 7033, 28047, 112305, 449495, 1797241, 7189903, 28761777, 115041239, 460172409, 1840706959, 7362780849, 29451183063, 117804870777, 471219107215, 1884876906161, 7539508732887, 30158031924345, 120632131515791, 482528534929073

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

Empirical g.f.: (1+3*x-3*x^2+3*x^3-36*x^4+40*x^5-56*x^6) / ((1-x)*(1+x)*(1-2*x)*(1-4*x)*(1+x^2)*(1+2*x+4*x^2)). - Colin Barker, Jan 04 2016 and Apr 17 2019

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]], 2], {k, 1, rows}]   (* Decimal Representation of Rows *)

Crossrefs

Cf. A071031, A266809.

Sequence in context: A255280 A327627 A110240 * A199893 A129791 A216688

Adjacent sequences: A266807 A266808 A266809 * A266811 A266812 A266813

Keyword

nonn,easy

Author

Robert Price, Jan 03 2016

Status

approved