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A250928 Number of (n+1) X (1+1) 0..3 arrays with no 2 X 2 subblock having a diagonal absolute difference less than its antidiagonal absolute difference. 1
164, 1652, 16588, 166600, 1673388, 16808096, 168826024, 1695743636, 17032602828, 171081026028, 1718393703032, 17260107602388, 173366158128632, 1741346315841920, 17490651142232804, 175681812742310068 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

FORMULA

Empirical: a(n) = 12*a(n-1) - 23*a(n-2) + 37*a(n-3) - 33*a(n-4).

Empirical g.f.: 4*x*(41 - 79*x + 134*x^2 - 132*x^3) / (1 - 12*x + 23*x^2 - 37*x^3 + 33*x^4). - Colin Barker, Nov 23 2018

EXAMPLE

Some solutions for n=4:

..3..2....1..2....2..0....0..2....1..0....0..0....3..2....0..0....3..2....3..1

..0..1....0..3....1..1....1..3....1..3....1..1....2..1....3..3....0..1....2..0

..1..1....2..3....3..3....3..3....3..2....1..3....1..2....2..0....1..1....1..0

..2..2....2..3....1..0....3..0....3..1....1..3....1..2....1..1....0..2....0..0

..2..0....3..3....1..3....2..0....1..3....2..2....2..0....2..2....3..2....2..2

CROSSREFS

Column 1 of A250935.

Sequence in context: A038670 A192993 A250935 * A205314 A229377 A209892

Adjacent sequences:  A250925 A250926 A250927 * A250929 A250930 A250931

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 28 2014

STATUS

approved

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Last modified October 17 06:07 EDT 2021. Contains 348048 sequences. (Running on oeis4.)