A200147 Number of 0..1 arrays x(0..n-1) of n elements with zero n-1st difference.

1, 2, 2, 4, 2, 8, 2, 16, 6, 32, 2, 64, 2, 144, 14, 256, 2, 512, 2, 1024, 6, 2048, 2, 4096, 50, 8192, 6, 16384, 2, 34816, 2, 66176, 6, 147456, 130, 262168, 2, 524288, 38, 1048576, 2, 2127872, 2, 4194304, 134, 8388608, 2, 17825792, 4098, 33554432, 6, 67108864

Offset

1,2

Comments

Column 1 of A200154.

Links

Table of n, a(n) for n=1..52.

Eugen J. Ionascu, Bisecting binomial coefficients (II), arXiv preprint arXiv:1712.01243, 2017

Eugen J. Ionascu, Thor Martinsen, Pantelimon Stanica, Bisecting binomial coefficients, arXiv:1610.02063 [math.CO], 2016. See p. 11.

Example

All solutions for n=6
..0....0....0....1....1....0....1....1
..0....1....0....1....0....1....0....1
..1....1....0....0....1....0....0....1
..1....1....0....0....1....0....0....1
..0....1....0....1....0....1....0....1
..0....0....0....1....1....0....1....1

Crossrefs

Cf. A200154.

Sequence in context: A304102 A096154 A270365 * A235063 A084540 A364557

Adjacent sequences: A200144 A200145 A200146 * A200148 A200149 A200150

Keyword

nonn

Author

R. H. Hardin, Nov 13 2011

Extensions

a(38)-a(52) added from Ionascu link by Michel Marcus, Oct 10 2016

Status

approved