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A205734
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Number of (n+1)X7 0..2 arrays with every 2 X 2 subblock having the same number of clockwise edge increases as its horizontal neighbors and no 2 X 2 subblock having the same number of counterclockwise edge increases as its vertical neighbors.
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1
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218034, 376314, 2565900, 7713324, 84974904, 276139080, 3069752670, 10194154164, 115813704396, 385448895840, 4369023325002, 14557797869880, 165279265702488, 550701994656732, 6250099464188712, 20826415515026868, 236399003977763112
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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) = 76*a(n-2) -1955*a(n-4) +20366*a(n-6) +15348*a(n-8) -2886522*a(n-10) +37029052*a(n-12) -247028349*a(n-14) +795328625*a(n-16) +1685976678*a(n-18) -38353816813*a(n-20) +270173198836*a(n-22) -1286741455436*a(n-24) +4709227315780*a(n-26) -13868600491780*a(n-28) +33458053562897*a(n-30) -66162550243737*a(n-32) +105226160524020*a(n-34) -126742492853779*a(n-36) +92110049048134*a(n-38) +29399118390780*a(n-40) -224366358312638*a(n-42) +415670189818420*a(n-44) -492777533879523*a(n-46) +386665476213635*a(n-48) -132298856296850*a(n-50) -143397939498927*a(n-52) +307435344716800*a(n-54) -308957102073852*a(n-56) +196998057649424*a(n-58) -64576861004500*a(n-60) -21173704327673*a(n-62) +47277058360446*a(n-64) -36987054147284*a(n-66) +18012949345186*a(n-68) -4935603999560*a(n-70) -390657759912*a(n-72) +1293094291460*a(n-74) -825574742872*a(n-76) +344257170696*a(n-78) -106991229336*a(n-80) +25646597536*a(n-82) -4754805264*a(n-84) +671241664*a(n-86) -69765696*a(n-88) +5025280*a(n-90) -223488*a(n-92) +4608*a(n-94) for n>103.
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EXAMPLE
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Some solutions for n=4:
..1..0..0..1..2..0..0....0..0..2..1..1..1..2....1..2..0..1..0..1..2
..2..2..0..1..2..0..2....2..0..2..1..2..1..2....1..2..0..1..0..1..2
..1..0..1..0..1..2..1....0..1..0..2..0..2..0....2..1..2..0..2..0..1
..2..0..1..0..1..2..1....0..0..0..0..0..0..0....2..1..2..0..2..0..1
..2..1..0..1..2..1..2....0..0..0..0..0..0..0....1..2..1..2..0..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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