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A210118
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Number of (n+1) X 2 0..3 arrays with every 2 X 2 subblock having two or four distinct values, and new values 0..3 introduced in row major order.
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1
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8, 44, 265, 1702, 11369, 77642, 536581, 3731446, 26032433, 181914722, 1272290749, 8902073710, 62300406761, 436052596634, 3052189205941, 21364687028710, 149550539021345, 1046845687784786, 7327891018040365, 51295134566193886
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OFFSET
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1,1
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COMMENTS
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LINKS
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FORMULA
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Empirical: a(n) = 10*a(n-1) - 19*a(n-2) - 14*a(n-3).
Empirical g.f.: x*(8 - 36*x - 23*x^2) / ((1 - 7*x)*(1 - 3*x - 2*x^2)). - Colin Barker, Jul 14 2018
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EXAMPLE
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Some solutions for n=4:
0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1
0 1 1 0 0 1 0 1 0 1 0 1 1 0 0 1 1 0 0 1
2 3 0 0 0 1 1 1 0 0 1 1 0 1 1 0 2 3 0 0
2 3 0 1 1 1 2 1 2 2 1 2 1 0 0 1 1 0 0 1
3 2 0 0 0 0 2 2 1 1 2 1 0 0 0 0 0 0 1 1
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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