login
Number of 0..1 arrays x(0..n-1) of n elements with zero n-1st difference.
0

%I #17 Feb 16 2018 18:04:08

%S 1,2,2,4,2,8,2,16,6,32,2,64,2,144,14,256,2,512,2,1024,6,2048,2,4096,

%T 50,8192,6,16384,2,34816,2,66176,6,147456,130,262168,2,524288,38,

%U 1048576,2,2127872,2,4194304,134,8388608,2,17825792,4098,33554432,6,67108864

%N Number of 0..1 arrays x(0..n-1) of n elements with zero n-1st difference.

%C Column 1 of A200154.

%H Eugen J. Ionascu, <a href="https://arxiv.org/abs/1712.01243">Bisecting binomial coefficients (II)</a>, arXiv preprint arXiv:1712.01243, 2017

%H Eugen J. Ionascu, Thor Martinsen, Pantelimon Stanica, <a href="https://arxiv.org/abs/1610.02063">Bisecting binomial coefficients</a>, arXiv:1610.02063 [math.CO], 2016. See p. 11.

%e All solutions for n=6

%e ..0....0....0....1....1....0....1....1

%e ..0....1....0....1....0....1....0....1

%e ..1....1....0....0....1....0....0....1

%e ..1....1....0....0....1....0....0....1

%e ..0....1....0....1....0....1....0....1

%e ..0....0....0....1....1....0....1....1

%Y Cf. A200154.

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 13 2011

%E a(38)-a(52) added from Ionascu link by _Michel Marcus_, Oct 10 2016