A205314 Number of (n+1) X 5 0..1 arrays with every 2 X 2 subblock having the same number of equal edges, and new values 0..1 introduced in row major order.

164, 1708, 18152, 193664, 2068148, 22091516, 235994088, 2521075824, 26932295140, 287714402188, 3073619242616, 32835119205664, 350773799961748, 3747276188396572, 40031720975324552, 427654276187965520

Offset

1,1

Comments

Column 4 of A205318.

Links

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

Formula

Empirical: a(n) = 17*a(n-1) -81*a(n-2) +157*a(n-3) -140*a(n-4) +56*a(n-5) -8*a(n-6).

Empirical g.f.: 4*x*(41 - 270*x + 600*x^2 - 580*x^3 + 244*x^4 - 36*x^5) / ((1 - x)*(1 - 16*x + 65*x^2 - 92*x^3 + 48*x^4 - 8*x^5)). - Colin Barker, Jun 11 2018

Example

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

Crossrefs

Cf. A205318.

Sequence in context: A192993 A250935 A250928 * A229377 A209892 A264241

Adjacent sequences: A205311 A205312 A205313 * A205315 A205316 A205317

Keyword

nonn

Author

R. H. Hardin, Jan 25 2012

Status

approved