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A298083
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Number of nX4 0..1 arrays with every element equal to 2, 3, 5 or 6 king-move adjacent elements, with upper left element zero.
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1
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0, 2, 3, 10, 28, 76, 213, 645, 1852, 5642, 17016, 51810, 158290, 484347, 1484262, 4552873, 13976949, 42918852, 131843755, 405082273, 1244758709, 3825355448, 11756644688, 36133929611, 111060564589, 341360933527, 1049237831619
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OFFSET
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1,2
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COMMENTS
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LINKS
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FORMULA
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Empirical: a(n) = 5*a(n-1) -4*a(n-2) -28*a(n-4) +10*a(n-5) +35*a(n-6) +103*a(n-7) -31*a(n-8) +31*a(n-9) -383*a(n-10) +291*a(n-11) -598*a(n-12) -88*a(n-13) +16*a(n-14) -165*a(n-15) +1777*a(n-16) +1139*a(n-17) +1984*a(n-18) -2265*a(n-19) +1513*a(n-20) -2214*a(n-21) +6466*a(n-22) -9351*a(n-23) -128*a(n-24) -14148*a(n-25) -9460*a(n-26) -16824*a(n-27) +19925*a(n-28) +22443*a(n-29) +20906*a(n-30) +7763*a(n-31) +5741*a(n-32) -10077*a(n-33) +2720*a(n-34) +13550*a(n-35) -7017*a(n-36) -31393*a(n-37) -21978*a(n-38) +5034*a(n-39) +16547*a(n-40) +7238*a(n-41) -404*a(n-42) -6332*a(n-43) -2417*a(n-44) -5112*a(n-45) -816*a(n-46) -1724*a(n-47) +1953*a(n-48) +1176*a(n-49) +1643*a(n-50) -112*a(n-51) -110*a(n-52) -388*a(n-53) +15*a(n-54) -40*a(n-55) +26*a(n-56) +6*a(n-57) for n>58
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EXAMPLE
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Some solutions for n=7
..0..0..1..1. .0..0..1..1. .0..0..0..0. .0..0..0..0. .0..0..1..1
..0..0..1..1. .0..1..0..1. .0..1..1..0. .0..1..1..0. .0..1..0..1
..1..1..1..1. .0..1..0..1. .1..1..0..1. .1..0..1..0. .0..1..0..1
..1..0..1..1. .1..0..0..1. .0..0..0..1. .1..0..1..0. .0..0..1..1
..0..1..0..0. .0..1..0..1. .0..1..0..1. .1..0..1..0. .0..1..0..1
..0..1..0..1. .0..1..0..1. .0..1..1..0. .1..0..0..1. .1..0..0..1
..0..0..1..1. .0..0..1..1. .0..0..0..0. .1..1..1..1. .1..1..1..1
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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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