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A206266 Number of (n+1) X 8 0..1 arrays with the number of rightwards and downwards edge increases in each 2 X 2 subblock equal to the number in all its horizontal and vertical neighbors. 1
154, 174, 503, 1296, 3011, 6444, 12878, 24319, 43766, 75591, 125978, 203499, 319778, 490323, 735479, 1081584, 1562283, 2220084, 3108113, 4292154, 5852933, 7888734, 10518308, 13884165, 18156212, 23535829, 30260348, 38608029, 48903500, 61523757 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 7 of A206267.

LINKS

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

FORMULA

Empirical: a(n) = 8*a(n-1) - 27*a(n-2) + 48*a(n-3) - 42*a(n-4) + 42*a(n-6) - 48*a(n-7) + 27*a(n-8) - 8*a(n-9) + a(n-10) for n>11.

Empirical g.f.: x*(154 - 1058*x + 3269*x^2 - 5422*x^3 + 4340*x^4 + 512*x^5 - 4927*x^6 + 5271*x^7 - 2862*x^8 + 826*x^9 - 101*x^10) / ((1 - x)^9*(1 + x)). - Colin Barker, Jun 15 2018

EXAMPLE

Some solutions for n=4:

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

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

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

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

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

CROSSREFS

Cf. A206267.

Sequence in context: A269664 A281857 A278708 * A049515 A049519 A214475

Adjacent sequences:  A206263 A206264 A206265 * A206267 A206268 A206269

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 05 2012

STATUS

approved

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Last modified September 25 21:07 EDT 2020. Contains 337344 sequences. (Running on oeis4.)