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A234879
Number of (n+1) X (5+1) 0..4 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
512, 1188, 2096, 6364, 12208, 44348, 87312, 354132, 703104, 3038716, 6051952, 27075444, 53993296, 245985516, 490821440, 2257240564, 4505154032, 20819580220, 41558674736, 192537441668, 384356619712, 1783019060604, 3559512651120
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = a(n-1) +34*a(n-2) -34*a(n-3) -490*a(n-4) +490*a(n-5) +3953*a(n-6) -3953*a(n-7) -19806*a(n-8) +19806*a(n-9) +64568*a(n-10) -64568*a(n-11) -139460*a(n-12) +139460*a(n-13) +199324*a(n-14) -199324*a(n-15) -184736*a(n-16) +184736*a(n-17) +105888*a(n-18) -105888*a(n-19) -33888*a(n-20) +33888*a(n-21) +4608*a(n-22) -4608*a(n-23).
EXAMPLE
Some solutions for n=4:
3 4 1 4 3 4 2 3 2 3 2 3 2 3 2 4 2 4 4 2 4 2 4 2
0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 1 0 1 1 0 1 0 1 0
3 4 1 4 1 4 1 4 1 4 3 4 2 3 2 4 2 4 4 2 4 2 4 2
0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 1 0 1 1 0 3 0 3 0
3 4 1 4 1 4 3 4 3 4 3 4 1 4 1 3 1 3 4 2 4 2 4 2
CROSSREFS
Column 5 of A234882.
Sequence in context: A341886 A045058 A220017 * A202454 A230543 A224651
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 01 2014
STATUS
approved