OFFSET
0,3
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
FORMULA
Empirical g.f.: (1 +x -17*x^2 +40*x^3 -64*x^5 -248*x^6 +128*x^7 +1472*x^8 -2048*x^10) / ((1 -x)*(1 +x)*(1 -2*x)*(1 -4*x)*(1 +4*x)*(1 -2*x^2)*(1 +2*x +4*x^2)*(1 -8*x^2)). - Colin Barker, Jan 03 2016 and Apr 18 2019
MATHEMATICA
rule=57; 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
KEYWORD
nonn
AUTHOR
Robert Price, Jan 02 2016
STATUS
approved