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.

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

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: A084052 A352677 A130630 * A071029 A071030 A355938

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