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
A. J. Macfarlane, Generating functions for integer sequences defined by the evolution of cellular automata..., Fig 1.
Eric Weisstein's World of Mathematics, Elementary Cellular Automaton
S. Wolfram, A New Kind of Science
FORMULA
Empirical g.f.: (1+6*x+12*x^2+96*x^3-144*x^4-32*x^5-704*x^6) / ((1-x)*(1-2*x)*(1-4*x)*(1+4*x)*(1+2*x+4*x^2)*(1+16*x^2)). - Colin Barker, Jan 14 2016 and Apr 19 2019
MATHEMATICA
rule=118; 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 12 2016
STATUS
approved