A267855 Decimal representation of the n-th iteration of the "Rule 230" elementary cellular automaton starting with a single ON (black) cell.

1, 6, 20, 120, 368, 1888, 5952, 30592, 96000, 488960, 1537024, 7829504, 24604672, 125263872, 393691136, 2004320256, 6299254784, 32068993024, 100788338688, 513105461248, 1612616564736, 8209685282816, 25801869230080, 131354989690880, 412829958012928

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

Conjectures from Colin Barker, Jan 21 2016 and Apr 17 2019: (Start)

a(n) = 16*a(n-2)+16*a(n-4)-256*a(n-6) for n>5.

G.f.: (1+6*x+4*x^2+24*x^3+32*x^4-128*x^5) / ((1-2*x)*(1+2*x)*(1-4*x)*(1+4*x)*(1+4*x^2)).

(End)

Mathematica

rule=230; 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. A267853.

Sequence in context: A036755 A045470 A117998 * A099840 A223045 A245855

Adjacent sequences: A267852 A267853 A267854 * A267856 A267857 A267858

Keyword

nonn,easy

Author

Robert Price, Jan 21 2016

Status

approved