A207848 Number of 5 X n 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 0 and 1 1 1 vertically.

16, 256, 704, 2816, 10144, 38208, 140032, 524480, 1928000, 7206080, 26535520, 99030016, 365153536, 1361114752, 5024242112, 18709799552, 69123162272, 257205919680, 950917193216, 3536088581440, 13080799664192, 48617201294144

Offset

1,1

Comments

Row 5 of A207845.

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 15*a(n-2) + 4*a(n-3) - 32*a(n-4) - 4*a(n-5) + 15*a(n-6) - a(n-8) for n>9.

Empirical g.f.: 16*x*(1 + 16*x + 29*x^2 - 68*x^3 - 58*x^4 + 88*x^5 - 5*x^6 - 8*x^7 + x^8) / (1 - 15*x^2 - 4*x^3 + 32*x^4 + 4*x^5 - 15*x^6 + x^8). - Colin Barker, Jun 26 2018

Example

Some solutions for n=4:
..0..1..0..0....0..1..1..1....0..1..0..1....1..0..1..0....1..1..0..0
..1..1..0..1....1..0..1..1....0..1..0..1....1..1..0..1....1..0..1..1
..1..0..1..0....0..1..0..0....1..0..1..0....0..1..1..1....0..1..1..0
..0..1..0..1....1..1..1..0....1..0..1..1....1..0..1..0....0..1..0..0
..0..1..1..0....1..0..1..1....0..1..0..0....1..1..0..1....1..0..1..1

Crossrefs

Cf. A207845.

Sequence in context: A208376 A208066 A207931 * A208837 A208685 A017570

Adjacent sequences: A207845 A207846 A207847 * A207849 A207850 A207851

Keyword

nonn

Author

R. H. Hardin, Feb 21 2012

Status

approved