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A283412
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Number of nX5 0..1 arrays with no 1 equal to more than three of its horizontal, vertical and antidiagonal neighbors.
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1
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32, 912, 20744, 519252, 12806920, 315717408, 7790355688, 192182078748, 4741143038544, 116964083503632, 2885504333511816, 71185418665054296, 1756144835980151024, 43324107338347311024, 1068806077429802489752
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OFFSET
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1,1
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COMMENTS
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Column 5 of A283415.
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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) = 13*a(n-1) +228*a(n-2) +1321*a(n-3) +3587*a(n-4) +6648*a(n-5) +4808*a(n-6) +23696*a(n-7) +47315*a(n-8) +419628*a(n-9) -870309*a(n-10) +1567905*a(n-11) -601094*a(n-12) -2760190*a(n-13) +11844999*a(n-14) -23437302*a(n-15) +31055256*a(n-16) -40298061*a(n-17) +41215657*a(n-18) -37139862*a(n-19) +39606164*a(n-20) -38463655*a(n-21) +27093646*a(n-22) -14888649*a(n-23) +11716400*a(n-24) -10771719*a(n-25) +5771122*a(n-26) -1073393*a(n-27) -535654*a(n-28) +423321*a(n-29) -155939*a(n-30) +68452*a(n-31) -31796*a(n-32) +11014*a(n-33) -2628*a(n-34) +576*a(n-35) -225*a(n-36) +81*a(n-37) for n>39
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EXAMPLE
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Some solutions for n=3
..1..1..1..1..0. .1..1..0..1..0. .1..1..0..1..0. .0..0..0..0..0
..0..0..0..0..1. .0..1..0..1..1. .0..1..1..0..0. .1..0..0..0..0
..0..0..0..1..1. .0..0..1..0..1. .0..0..1..1..0. .0..0..1..0..0
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CROSSREFS
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Cf. A283415.
Sequence in context: A283854 A160314 A241223 * A227441 A067820 A263818
Adjacent sequences: A283409 A283410 A283411 * A283413 A283414 A283415
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin, Mar 07 2017
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STATUS
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approved
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