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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. 1
164, 1708, 18152, 193664, 2068148, 22091516, 235994088, 2521075824, 26932295140, 287714402188, 3073619242616, 32835119205664, 350773799961748, 3747276188396572, 40031720975324552, 427654276187965520 (list; graph; refs; listen; history; text; internal format)
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

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Last modified November 28 23:48 EST 2021. Contains 349415 sequences. (Running on oeis4.)