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A206164
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Number of (n+1) X 4 0..3 arrays with every 2 X 2 subblock in a row having an equal number of equal diagonal or equal antidiagonal elements, adjacent rows differing in this number, and new values 0..3 introduced in row major order.
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1
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641, 14182, 463878, 10599630, 345652310, 7934434238, 257597022598, 5939045721006, 191982939898678, 4445181274166302, 143088306500843366, 3326865018494656782, 106651001017976490518, 2489743322080060401278
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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) = a(n-1) + 745*a(n-2) - 489*a(n-3) - 5808*a(n-4) + 1584*a(n-5) + 10368*a(n-6) for n>7.
Empirical g.f.: x*(641 + 13541*x - 27849*x^2 - 116389*x^3 + 121496*x^4 + 247632*x^5 - 70272*x^6) / ((1 - x - 4*x^2)*(1 - 741*x^2 - 252*x^3 + 2592*x^4)). - Colin Barker, Jun 13 2018
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EXAMPLE
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Some solutions for n=4:
..0..0..0..1....0..0..0..1....0..0..0..0....0..0..0..0....0..1..1..2
..0..1..0..0....0..1..0..0....0..1..0..1....0..0..0..0....1..1..0..1
..2..1..2..2....0..1..2..1....1..0..1..0....1..0..1..0....0..3..0..1
..2..2..2..3....3..0..1..0....1..0..1..3....1..3..3..2....2..0..1..1
..1..3..1..0....1..2..1..2....0..0..0..1....1..1..3..3....2..3..2..2
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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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