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A231435
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Number of (n+2)X(2+2) 0..3 arrays with no element unequal to a strict majority of its horizontal, vertical, diagonal and antidiagonal neighbors, with values 0..3 introduced in row major order
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1
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2, 4, 8, 17, 45, 104, 280, 752, 2076, 5947, 17063, 50170, 148048, 440654, 1318362, 3954541, 11900191, 35855502, 108184920, 326687124, 987055180, 2983676881, 9021446161, 27283340688, 82523932704, 249635724500, 755206783160
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OFFSET
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1,1
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COMMENTS
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Column 2 of A231441
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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) = 5*a(n-1) -24*a(n-3) -4*a(n-4) +70*a(n-5) +7*a(n-6) -29*a(n-7) -24*a(n-8) -202*a(n-9) +21*a(n-10) +269*a(n-11) +185*a(n-12) -177*a(n-13) -123*a(n-14) +5*a(n-15) -116*a(n-16) +144*a(n-17) +30*a(n-18) -36*a(n-19)
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EXAMPLE
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Some solutions for n=6
..0..0..0..0....0..0..1..1....0..0..0..0....0..0..0..0....0..0..0..0
..0..0..0..0....0..0..1..1....0..0..0..0....0..0..0..0....0..0..0..0
..1..1..0..0....1..1..0..0....0..0..1..1....1..1..1..1....0..0..0..0
..1..1..1..1....1..1..0..0....0..1..1..1....1..1..1..1....0..0..0..0
..1..1..1..1....0..0..1..1....0..1..1..1....2..2..2..2....0..0..1..1
..1..1..1..1....0..0..1..1....0..0..1..1....2..2..2..2....1..1..1..1
..1..1..1..1....0..0..1..1....0..0..1..1....3..3..3..3....1..1..1..1
..1..1..1..1....0..0..1..1....0..0..1..1....3..3..3..3....1..1..1..1
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CROSSREFS
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Sequence in context: A272105 A283162 A231221 * A113153 A255999 A171719
Adjacent sequences: A231432 A231433 A231434 * A231436 A231437 A231438
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin, Nov 09 2013
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STATUS
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approved
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