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A071032 Triangle read by rows giving successive states of cellular automaton generated by "Rule 86". 6
1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Row n has length 2n+1.

REFERENCES

S. Wolfram, A New Kind of Science, Wolfram Media, 2002; Chapter 3.

LINKS

Reinhard Zumkeller, Rows n = 0..120 of triangle, flattened

Eric Weisstein's World of Mathematics, Rule 30

S. Wolfram, A New Kind of Science

Index to Elementary Cellular Automata

Index entries for sequences related to cellular automata

FORMULA

T(n,k) = A070950(n,2*n+1-k), 0 <= k <= 2*n+1. - Reinhard Zumkeller, Jun 08 2013

PROG

(Haskell)

a071032 n k = a071032_tabf !! n !! k

a071032_row n = a071032_tabf !! n

a071032_tabf = map reverse a070950_tabf

-- Reinhard Zumkeller, Jun 08 2013

CROSSREFS

Cf. A005408 (row lengths), A070952 (row sums), A051023 (central terms), A070950 (mirror image, rule 30), A226464 (complemented, rule 149).

Sequence in context: A104037 A014044 A014079 * A071034 A089497 A355937

Adjacent sequences: A071029 A071030 A071031 * A071033 A071034 A071035

KEYWORD

nonn,tabf

AUTHOR

Hans Havermann, May 26 2002

EXTENSIONS

Corrected by Hans Havermann, Jan 07 2012

STATUS

approved

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Last modified December 9 17:46 EST 2022. Contains 358703 sequences. (Running on oeis4.)