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A234162
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Number of (n+1) X (1+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2 (constant-stress 1 X 1 tilings).
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1
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136, 766, 4296, 24158, 135752, 764190, 4299592, 24233182, 136504392, 770285726, 4343950664, 24541377630, 138552612424, 783650013214, 4428992339784, 25077751366622, 141879999973448, 804197213585310, 4554351695155528
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OFFSET
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1,1
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..210
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FORMULA
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Empirical: a(n) = 4*a(n-1) + 41*a(n-2) - 132*a(n-3) - 264*a(n-4).
Empirical g.f.: 2*x*(68 + 111*x - 2172*x^2 - 3240*x^3) / ((1 - 4*x - 8*x^2)*(1 - 33*x^2)). - Colin Barker, Oct 13 2018
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EXAMPLE
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Some solutions for n=5:
3 1 0 2 1 0 1 2 0 1 1 0 4 0 3 0 1 0 2 2
3 3 1 1 3 4 1 0 2 1 3 0 4 2 3 2 1 2 0 2
0 2 4 2 3 2 2 3 3 0 4 3 4 0 0 1 1 4 0 4
2 2 1 1 2 3 2 1 3 2 4 1 4 2 1 4 3 4 0 2
1 3 0 2 0 3 3 4 4 1 3 2 4 4 0 1 3 2 0 4
0 0 4 4 2 3 1 0 2 1 0 1 4 2 2 1 0 1 2 4
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CROSSREFS
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Column 1 of A234169.
Sequence in context: A183901 A270341 A234169 * A262091 A251175 A251168
Adjacent sequences: A234159 A234160 A234161 * A234163 A234164 A234165
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin, Dec 20 2013
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STATUS
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approved
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