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A265281 Decimal representation of the n-th iteration of the "Rule 86" elementary cellular automaton starting with a single ON (black) cell. 9
1, 7, 19, 123, 275, 1915, 4627, 32379, 67347, 463739, 1276435, 8001147, 18245395, 124220283, 309475859, 2134808187, 4354074387, 30225757051, 82642024979, 530573137531, 1175676118803, 8199373878139, 19977819994643, 139441424012923, 286691477808915 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Iterates of A269161 starting from a(0) = 1. - Antti Karttunen, Feb 20 2016

Also, the decimal representation of the n-th generation of the "Rule 859583292" 5-neighbors elementary cellular automaton starting with a single ON (black) cell. - Philipp O. Tsvetkov, Jul 17 2019

REFERENCES

S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55.

LINKS

Robert Price, Table of n, a(n) for n = 0..999

Eric Weisstein's World of Mathematics, Elementary Cellular Automaton

Index entries for sequences related to cellular automata

Index to Elementary Cellular Automata

FORMULA

From Antti Karttunen, Feb 20 2016: (Start)

a(0) = 1, for n >= 1, a(n) = A269161(a(n-1)).

a(n) = A030101(A110240(n)). [The rule 86 is the mirror image of the rule 30.]

(End)

MATHEMATICA

rule = 86; rows = 30; Table[FromDigits[Table[Take[CellularAutomaton[rule, {{1}, 0}, rows-1, {All, All}][[k]], {rows-k+1, rows+k-1}], {k, 1, rows}][[k]], 2], {k, 1, rows}]

PROG

(Scheme, with memoization-macro definec)

(definec (A265281 n) (if (zero? n) 1 (A269161 (A265281 (- n 1)))))

;; Antti Karttunen, Feb 20 2016

CROSSREFS

Cf. A030101, A071032, A265280, A269161.

Cf. also A110240.

Sequence in context: A180025 A070976 A249608 * A267276 A328713 A096321

Adjacent sequences:  A265278 A265279 A265280 * A265282 A265283 A265284

KEYWORD

nonn,easy

AUTHOR

Robert Price, Dec 06 2015

STATUS

approved

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Last modified August 8 09:16 EDT 2020. Contains 336293 sequences. (Running on oeis4.)