

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
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OFFSET

1,1


LINKS

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


FORMULA

Empirical: a(n) = 14*a(n2)  37*a(n4) + 21*a(n6).
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



