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A235303 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 6 (constant-stress 1 X 1 tilings). 1
70, 210, 518, 1554, 4006, 12018, 32006, 96018, 261670, 785010, 2173958, 6521874, 18267046, 54801138, 154764806, 464294418, 1319524390, 3958573170, 11307598598, 33922795794, 97317170086, 291951510258, 840713542406, 2522140627218 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = 3*a(n-1) + 13*a(n-2) - 39*a(n-3) - 40*a(n-4) + 120*a(n-5).
Empirical g.f.: 2*x*(35 - 511*x^2 + 1800*x^4) / ((1 - 3*x)*(1 - 5*x^2)*(1 - 8*x^2)). - Colin Barker, Oct 18 2018
EXAMPLE
Some solutions for n=5:
0 3 4 0 5 2 4 1 5 3 4 0 1 4 2 0 4 0 4 2
4 1 3 5 2 5 0 3 1 5 3 5 5 2 1 5 1 3 1 5
1 4 5 1 5 2 5 2 4 2 4 0 0 3 5 3 4 0 5 3
3 0 2 4 2 5 0 3 0 4 2 4 5 2 1 5 2 4 1 5
2 5 5 1 3 0 5 2 4 2 5 1 1 4 4 2 4 0 4 2
3 0 0 2 1 4 1 4 0 4 2 4 3 0 0 4 1 3 0 4
CROSSREFS
Column 1 of A235310.
Sequence in context: A165764 A153669 A235310 * A234564 A234557 A245857
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 05 2014
STATUS
approved

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Last modified July 17 09:24 EDT 2024. Contains 374363 sequences. (Running on oeis4.)