A059319 Number of 1's in row n of Pascal's rhombus mod 2.

1, 3, 2, 5, 5, 6, 3, 11, 4, 15, 7, 10, 9, 9, 8, 21, 11, 12, 15, 25, 16, 21, 9, 22, 7, 27, 12, 15, 17, 24, 13, 43, 14, 33, 19, 20, 23, 45, 14, 55, 17, 48, 29, 35, 24, 27, 19, 42, 21, 21, 28, 45, 27, 36, 15, 33, 14, 51, 25, 40, 37, 39, 30, 85, 33, 42, 43, 55, 34, 57, 19, 44, 23, 69

Offset

0,2

Comments

Also number of ON cells at generation n in the reversible cellular automaton RCA(3) when started with a single ON cell at generation 0. - N. J. A. Sloane, Mar 16 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..73.

S. R. Finch, P. Sebah and Z.-Q. Bai, Odd Entries in Pascal's Trinomial Triangle arXiv:0802.2654 [math.NT], 2008.

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

Robert Price, Number of ON cells at each generation of RCA(3)

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

Crossrefs

Cf. A059317, A059318, A059320, A007318.

Sequence in context: A303917 A186929 A223538 * A196438 A019828 A289627

Adjacent sequences: A059316 A059317 A059318 * A059320 A059321 A059322

Keyword

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