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A205191 Number of (n+1) X 7 0..1 arrays with the number of clockwise edge increases in every 2 X 2 subblock differing from each horizontal or vertical neighbor. 1
216, 272, 384, 576, 896, 1408, 2048, 2944, 4224, 6144, 8960, 13184, 19328, 28416, 41600, 61056, 89344, 131072, 191872, 281472, 412160, 604544, 885376, 1298432, 1901824, 2788736, 4085120, 5989632, 8774784, 12864640, 18848000, 27631104 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 6 of A205193.

LINKS

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

FORMULA

Empirical: a(n) = a(n-1) +a(n-2) -a(n-3) +a(n-4) -a(n-5) +a(n-6) for n>10.

Empirical g.f.: 8*x*(27 + 7*x - 13*x^2 + 17*x^3 - x^4 + 33*x^5 - x^6 - 10*x^7 - 8*x^8 - 8*x^9) / ((1 - x^2 + x^3)*(1 - x - x^3)). - Colin Barker, Jun 11 2018

EXAMPLE

Some solutions for n=4:

..0..0..0..1..1..1..0....1..0..0..1..0..1..1....0..0..1..1..0..0..1

..1..0..0..1..1..0..1....1..0..0..0..1..1..1....0..0..1..1..0..0..1

..0..1..1..0..0..1..1....0..1..0..0..1..1..0....0..1..0..0..1..1..0

..0..1..1..0..0..1..1....0..0..1..1..0..0..1....1..0..0..0..1..1..1

..1..0..0..1..1..0..0....0..0..1..1..0..0..1....0..0..0..1..0..1..1

CROSSREFS

Cf. A205193.

Sequence in context: A230400 A001239 A184088 * A204650 A115430 A278976

Adjacent sequences:  A205188 A205189 A205190 * A205192 A205193 A205194

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 23 2012

STATUS

approved

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Last modified August 4 09:20 EDT 2021. Contains 346445 sequences. (Running on oeis4.)