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A234543 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 3 (constant stress 1 X 1 tilings). 1
208, 1212, 7056, 41112, 239648, 1397712, 8156096, 47619552, 278172288, 1625861952, 9507847936, 55631928192, 325684361728, 1907717620992, 11180553624576, 65562717445632, 384665021523968, 2258145124856832 (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) = 6*a(n-1) + 34*a(n-2) - 204*a(n-3) - 40*a(n-4) + 240*a(n-5).

Empirical g.f.: 4*x*(52 - 9*x - 1822*x^2 + 2160*x^4) / ((1 - 6*x)*(1 - 34*x^2 + 40*x^4)). - Colin Barker, Oct 15 2018

EXAMPLE

Some solutions for n=4:

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

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

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

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

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

CROSSREFS

Column 1 of A234549.

Sequence in context: A255075 A304281 A234549 * A233665 A233659 A230934

Adjacent sequences:  A234540 A234541 A234542 * A234544 A234545 A234546

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 28 2013

STATUS

approved

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Last modified October 18 16:51 EDT 2021. Contains 348068 sequences. (Running on oeis4.)