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A253537 Number of (n+2) X (1+2) 0..1 arrays with every 3 X 3 subblock diagonal maximum minus antidiagonal minimum nonincreasing horizontally and nondecreasing vertically. 2
512, 3328, 20480, 119040, 679936, 3825920, 21426176, 119525632, 665944064, 3706601728, 20624052224, 114725138688, 638126694400, 3549162447104, 19739468705792, 109783594930432, 610572175917056, 3395741380509952 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 1 of A253544.

LINKS

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

FORMULA

Empirical: a(n) = 8*a(n-1) - 7*a(n-2) - 56*a(n-3) + 120*a(n-4) - 64*a(n-5).

Empirical g.f.: 256*x*(2 - 3*x - 10*x^2 + 28*x^3 - 16*x^4) / ((1 - x)*(1 - 7*x + 8*x^2)*(1 - 8*x^2)). - Colin Barker, Mar 20 2018

EXAMPLE

Some solutions for n=4:

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

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

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

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

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

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

CROSSREFS

Cf. A253544.

Sequence in context: A253856 A253871 A253544 * A254390 A253985 A253978

Adjacent sequences:  A253534 A253535 A253536 * A253538 A253539 A253540

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 03 2015

STATUS

approved

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Last modified June 28 00:25 EDT 2022. Contains 354903 sequences. (Running on oeis4.)