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A302879
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Number of 4Xn 0..1 arrays with every element equal to 0, 1, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
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1
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8, 10, 37, 95, 306, 1442, 5871, 21832, 89400, 411068, 1770984, 7282331, 31250009, 139497681, 604440671, 2568314200, 11116864094, 48801680753, 211521061837, 909708854837, 3943937945239, 17186537187421, 74492402195670
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OFFSET
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1,1
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COMMENTS
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LINKS
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FORMULA
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Empirical: a(n) = 2*a(n-1) +9*a(n-2) -a(n-3) +197*a(n-4) -369*a(n-5) -1849*a(n-6) +1185*a(n-7) -9297*a(n-8) +17419*a(n-9) +96934*a(n-10) -64121*a(n-11) +189735*a(n-12) -397855*a(n-13) -2179494*a(n-14) +1449982*a(n-15) -1953412*a(n-16) +5213325*a(n-17) +23546498*a(n-18) -17130545*a(n-19) +9687329*a(n-20) -39431609*a(n-21) -113301551*a(n-22) +101095763*a(n-23) -13652305*a(n-24) +144037950*a(n-25) +111473727*a(n-26) -192684002*a(n-27) -14180716*a(n-28) -92338753*a(n-29) +637491359*a(n-30) -458644178*a(n-31) -178181636*a(n-32) -418135324*a(n-33) -1125465677*a(n-34) +1681486374*a(n-35) +337584642*a(n-36) +257262389*a(n-37) +888728487*a(n-38) -1462999026*a(n-39) -506296467*a(n-40) +450179489*a(n-41) -448543244*a(n-42) -12981540*a(n-43) +230189402*a(n-44) +47001636*a(n-45) +246935888*a(n-46) +107738769*a(n-47) -70677303*a(n-48) -59948120*a(n-49) -23694726*a(n-50) -7999498*a(n-51) -4816966*a(n-52) -48148*a(n-53) +922529*a(n-54) +217690*a(n-55) +49426*a(n-56) -28880*a(n-57) -18874*a(n-58) -2384*a(n-59) -32*a(n-60) for n>64
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EXAMPLE
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Some solutions for n=5
..0..1..0..0..1. .0..1..1..0..1. .0..1..0..0..1. .0..1..1..1..0
..0..0..0..0..0. .1..0..1..0..1. .0..0..0..0..0. .0..0..0..1..0
..1..1..1..0..1. .1..0..1..0..1. .1..1..0..0..1. .1..1..1..1..1
..1..0..0..0..1. .1..0..1..1..0. .1..0..1..0..1. .0..0..1..1..0
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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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