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A232311
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Number of (n+1)X(3+1) 0..1 arrays with every element equal to some horizontal or antidiagonal neighbor, with top left element zero
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1
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16, 139, 1202, 10409, 90157, 780922, 6764246, 58591124, 507509767, 4395993154, 38077604237, 329823977717, 2856898655026, 24746138781034, 214348305112232, 1856661207278099, 16082193123986242, 139302170295461137
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OFFSET
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1,1
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COMMENTS
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Column 3 of A232316
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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) = 10*a(n-1) -11*a(n-2) -5*a(n-3) -a(n-4).
Empirical: G.f.: -x*(-16+21*x+12*x^2+2*x^3) / ( 1-10*x+11*x^2+5*x^3+x^4 ). - R. J. Mathar, Nov 24 2013
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EXAMPLE
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Some.solutions.for.n=5
..0..0..0..0....0..0..1..0....0..0..0..0....0..0..1..0....0..0..0..0
..0..1..1..1....0..1..0..0....0..0..0..0....1..1..0..0....0..1..1..1
..0..0..0..0....1..1..1..0....1..1..0..0....1..1..1..0....1..1..1..0
..1..1..0..0....0..0..0..1....0..0..1..0....1..0..0..1....0..0..0..0
..1..0..1..1....0..0..1..1....0..1..0..1....0..1..1..0....1..1..1..0
..1..1..1..1....1..1..1..1....1..1..1..1....1..0..0..0....1..0..0..0
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CROSSREFS
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Sequence in context: A300934 A300878 A301488 * A048533 A303145 A213349
Adjacent sequences: A232308 A232309 A232310 * A232312 A232313 A232314
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin, Nov 22 2013
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STATUS
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approved
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