

A234261


Number of (n+1) X (3+1) 0..2 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2 (constant stress 1 X 1 tilings).


1



104, 170, 292, 560, 1100, 2324, 4924, 10988, 24284, 56060, 127132, 300380, 693020, 1664924, 3887644, 9452828, 22260764, 54595100, 129337372, 319132700, 759181340, 1881143324, 4487847964, 11152445468, 26658390044, 66377408540, 158876074012
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OFFSET

1,1


LINKS

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


FORMULA

Empirical: a(n) = 3*a(n1) + 6*a(n2)  24*a(n3) + 4*a(n4) + 36*a(n5)  24*a(n6).
Empirical g.f.: 2*x*(52  71*x  421*x^2 + 580*x^3 + 666*x^4  876*x^5) / ((1  x)*(1  2*x)*(1  2*x^2)*(1  6*x^2)).  Colin Barker, Oct 14 2018


EXAMPLE

Some solutions for n=5:
..0..0..2..1....1..0..1..1....2..0..2..0....2..0..0..2....0..2..0..2
..2..0..0..1....0..1..0..2....0..0..0..0....2..2..0..0....0..0..0..0
..0..0..2..1....1..0..1..1....2..0..2..0....2..0..0..2....0..2..0..2
..2..0..0..1....0..1..0..2....1..1..1..1....2..2..0..0....2..2..2..2
..0..0..2..1....2..1..2..2....0..2..0..2....2..0..0..2....2..0..2..0
..2..0..0..1....0..1..0..2....1..1..1..1....2..2..0..0....0..0..0..0


CROSSREFS

Column 3 of A234266.
Sequence in context: A253693 A168528 A259767 * A260288 A044336 A044717
Adjacent sequences: A234258 A234259 A234260 * A234262 A234263 A234264


KEYWORD

nonn


AUTHOR

R. H. Hardin, Dec 22 2013


STATUS

approved



