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Number of 1's in row n of Pascal's rhombus mod 2.
5

%I #25 Dec 18 2024 15:05:11

%S 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,

%T 15,17,24,13,43,14,33,19,20,23,45,14,55,17,48,29,35,24,27,19,42,21,21,

%U 28,45,27,36,15,33,14,51,25,40,37,39,30,85,33,42,43,55,34,57,19,44,23,69

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

%C 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

%D 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.

%H Steven R. Finch, P. Sebah and Z.-Q. Bai, <a href="http://arXiv.org/abs/0802.2654">Odd Entries in Pascal's Trinomial Triangle</a>, arXiv:0802.2654 [math.NT], 2008.

%H J. Goldwasser et al., <a href="http://dx.doi.org/10.1016/S0012-365X(98)00373-2">The density of ones in Pascal's rhombus</a>, Discrete Math., 204 (1999), 231-236.

%H Robert Price, <a href="/A059319/a059319.bfile.txt">Number of ON cells at each generation of RCA(3)</a>

%H Paul K. Stockmeyer, <a href="http://arxiv.org/abs/1504.04404">The Pascal Rhombus and the Stealth Configuration</a>, arXiv:1504.04404 [math.CO], 2015.

%H <a href="/index/Ce#cell">Index entries for sequences related to cellular automata</a>

%H <a href="https://oeis.org/wiki/Index_to_Elementary_Cellular_Automata">Index to Elementary Cellular Automata</a>

%Y Cf. A059317, A059318, A059320, A007318.

%K easy,nonn,changed

%O 0,2

%A _N. J. A. Sloane_, Jan 26 2001

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