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A234883 Number of (n+1) X (1+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1, with no adjacent elements equal (constant stress tilted 1 X 1 tilings). 1
80, 272, 856, 2896, 9192, 31064, 98696, 333456, 1059616, 3579832, 11375904, 38432120, 122129480, 412598472, 1311156208, 4429566640, 14076290136, 47554864016, 151120001288, 510538698456, 1622391563368, 5481032709232 (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) = 14*a(n-2) - 37*a(n-4) + 21*a(n-6).

Empirical g.f.: 8*x*(10 + 34*x - 33*x^2 - 114*x^3 + 21*x^4 + 73*x^5) / (1 - 14*x^2 + 37*x^4 - 21*x^6). - Colin Barker, Oct 16 2018

EXAMPLE

Some solutions for n=4:

..4..1....4..1....4..5....0..3....1..2....1..2....4..1....2..0....3..5....4..3

..5..3....5..3....2..4....3..5....2..4....3..5....2..0....5..2....0..3....2..0

..1..0....2..1....0..1....2..3....4..5....2..3....4..3....3..1....3..5....5..2

..5..3....5..3....1..3....0..2....1..3....0..2....2..0....5..4....0..1....3..1

..3..2....3..0....4..5....4..5....3..4....1..4....4..3....3..1....2..4....5..2

CROSSREFS

Column 1 of A234890.

Sequence in context: A306434 A234890 A157912 * A194646 A057441 A204483

Adjacent sequences:  A234880 A234881 A234882 * A234884 A234885 A234886

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 01 2014

STATUS

approved

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Last modified December 3 02:14 EST 2021. Contains 349445 sequences. (Running on oeis4.)