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A266810
Decimal representation of the n-th iteration of the "Rule 62" elementary cellular automaton starting with a single ON (black) cell.
2
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.
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
Sequence in context: A255280 A327627 A110240 * A199893 A129791 A216688
KEYWORD
nonn,easy
AUTHOR
Robert Price, Jan 03 2016
STATUS
approved