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A071036 Triangle read by rows giving successive states of cellular automaton generated by "Rule 150" when started with a single ON cell. 7
1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Row n has length 2n+1.

Also the coefficients of (x^2 + x + 1)^n mod 2. - Alan DenAdel, Mar 19 2014

REFERENCES

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

LINKS

Robert Price, Table of n, a(n) for n = 0..9999

Eric Weisstein's World of Mathematics, Elementary Cellular Automaton

S. Wolfram, A New Kind of Science

Index to Elementary Cellular Automata

Index entries for sequences related to cellular automata

FORMULA

a(n) = A027907(n) modulo 2. - Michel Marcus, Mar 20 2014

EXAMPLE

Triangle begins:

1;

1, 1, 1;

1, 0, 1, 0, 1;

1, 1, 0, 1, 0, 1, 1;

1, 0, 0, 0, 1, 0, 0, 0, 1;

1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1;

... - Michel Marcus, Mar 20 2014

PROG

(PARI) rown(n) = Vec(lift((x^2 + x + 1)^n * Mod(1, 2))); \\ Michel Marcus, Mar 20 2014

CROSSREFS

Cf. A027907.

This sequence, A038184 and A118110 are equivalent descriptions of the Rule 150 automaton.

Sequence in context: A089497 A122895 A140653 * A071038 A131522 A144473

Adjacent sequences:  A071033 A071034 A071035 * A071037 A071038 A071039

KEYWORD

nonn,tabf

AUTHOR

Hans Havermann, May 26 2002

EXTENSIONS

Corrected by Hans Havermann, Jan 08 2012

STATUS

approved

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Last modified September 23 20:33 EDT 2017. Contains 292391 sequences.