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A059318 Pascal's "rhombus" (actually a triangle) mod 2, read by rows: each entry is sum modulo 2 of 3 terms above it in previous row and one term above it two rows back. 3
1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Also, the triangle, read by rows, of successive generations in the reversible cellular automaton RCA(3) when started with a single ON cell at generation 0. - Robert Price, Mar 22 2017

REFERENCES

Macfarlane, Alan J. "Linear reversible second-order cellular automata and their first-order matrix equivalents." Journal of Physics A: Mathematical and General 37.45 (2004): 10791. See Fig. 4.

LINKS

Table of n, a(n) for n=0..104.

J. Goldwasser et al., The density of ones in Pascal's rhombus, Discrete Math., 204 (1999), 231-236.

Paul K. Stockmeyer, The Pascal Rhombus and the Stealth Configuration, arXiv:1504.04404 [math.CO], 2015.

Index entries for sequences related to cellular automata

Index to Elementary Cellular Automata

EXAMPLE

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

CROSSREFS

Cf. A059317, A059319, A059320, A007318, A284208, A284209.

Sequence in context: A014119 A084052 A130630 * A071029 A071030 A268240

Adjacent sequences:  A059315 A059316 A059317 * A059319 A059320 A059321

KEYWORD

tabf,easy,nonn

AUTHOR

N. J. A. Sloane, Jan 26 2001

EXTENSIONS

More terms from Larry Reeves (larryr(AT)acm.org), Jan 30 2001

STATUS

approved

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Last modified July 22 14:31 EDT 2019. Contains 325222 sequences. (Running on oeis4.)