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
FORMULA
Conjectures from Colin Barker, Jan 21 2016: (Start)
a(n) = 5*a(n-1)-4*a(n-2) for n>3.
G.f.: (1+2*x)*(1-4*x+16*x^2) / ((1-x)*(1-4*x)).
(End)
Conjecture: a(n) = 2^(2*n+1) - 13 for n>1. - Colin Barker, Nov 25 2016
MATHEMATICA
rule=213; 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 20 2016
STATUS
approved