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A075437 Triangle read by rows giving successive iterations of the Rule 110 elementary cellular automaton starting with a single black (1) cell where row n is of length 2n+1. 6
1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

The right n terms in a(n) are all 0.

T(n,k) = A070887(n+1,k+1), k=0..n. - Reinhard Zumkeller, Jun 26 2013

REFERENCES

Wolfram, S. A New Kind of Science. Champaign, IL: Wolfram Media, p. 31ff, 2002.

LINKS

Reinhard Zumkeller, Rows n = 0..100 of triangle, flattened

Eric Weisstein's World of Mathematics, Rule 110

S. Wolfram, A New Kind of Science

Index entries for sequences related to cellular automata

Index to Elementary Cellular Automata

EXAMPLE

1;

1,1,0;

1,1,1,0,0;

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

PROG

(Haskell)

a075437 n k = a075437_tabf !! n !! k

a075437_row n = a075437_tabf !! n

a075437_tabf = iterate rule110 [1] where

   rule110 row = f ([0, 0] ++ row ++ [0, 0]) where

       f [_, _]          = []

       f (_:ws@(0:0:_)) = 0 : f ws

       f (1:ws@(1:1:_)) = 0 : f ws

       f (_:ws@(_:_:_)) = 1 : f ws

-- Reinhard Zumkeller, Jun 26 2013

CROSSREFS

Cf. A070887.

Sequence in context: A323152 A192280 A266974 * A130047 A293233 A302050

Adjacent sequences:  A075434 A075435 A075436 * A075438 A075439 A075440

KEYWORD

nonn,tabl

AUTHOR

Eric W. Weisstein, Sep 15 2002

STATUS

approved

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Last modified June 1 19:32 EDT 2020. Contains 334762 sequences. (Running on oeis4.)