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A301325
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Number of nX3 0..1 arrays with every element equal to 0, 2, 3, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
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1
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1, 2, 7, 18, 25, 89, 233, 552, 1559, 4206, 11455, 31045, 85231, 232290, 634523, 1734730, 4739443, 12951941, 35393517, 96729068, 264330489, 722375126, 1974122009, 5394894605, 14743271905, 40290668634, 110107068099, 300902363502
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OFFSET
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1,2
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COMMENTS
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Column 3 of A301330.
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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) = a(n-1) +3*a(n-2) +6*a(n-3) -6*a(n-5) -9*a(n-6) +7*a(n-7) -15*a(n-8) -14*a(n-9) -20*a(n-10) +30*a(n-11) +3*a(n-12) +47*a(n-13) -67*a(n-14) +38*a(n-15) +15*a(n-16) -65*a(n-17) +106*a(n-18) -83*a(n-19) +24*a(n-20) +13*a(n-21) -32*a(n-22) +29*a(n-23) -11*a(n-24) +3*a(n-26) -3*a(n-27) +a(n-28) for n>29
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EXAMPLE
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Some solutions for n=5
..0..0..1. .0..0..0. .0..0..0. .0..1..1. .0..0..1. .0..1..0. .0..0..1
..0..1..1. .0..1..0. .0..1..0. .1..1..1. .0..1..1. .1..1..1. .0..1..1
..0..1..0. .0..0..1. .0..0..0. .1..0..0. .0..0..0. .1..1..0. .0..0..0
..0..0..0. .1..1..1. .1..1..0. .0..1..0. .0..1..0. .0..0..0. .0..1..0
..0..0..1. .1..1..0. .1..0..0. .0..0..1. .0..0..0. .0..0..1. .0..0..1
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CROSSREFS
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Cf. A301330.
Sequence in context: A217253 A268837 A104310 * A001114 A107615 A195605
Adjacent sequences: A301322 A301323 A301324 * A301326 A301327 A301328
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin, Mar 18 2018
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STATUS
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approved
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