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A206653
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Number of (n+2)X4 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly two ways, and new values 0..1 introduced in row major order
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1
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390, 1769, 8374, 39928, 190577, 910169, 4345011, 20745372, 99072051, 473072354, 2258928115, 10786845653, 51508637025, 245959541842, 1174491287887, 5608355555142, 26780628595266, 127881076950311, 610649258608125
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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) = 6*a(n-2) +70*a(n-3) +111*a(n-4) +11*a(n-5) -1038*a(n-6) -2212*a(n-7) -1228*a(n-8) +6222*a(n-9) +14947*a(n-10) +4864*a(n-11) -21444*a(n-12) -37809*a(n-13) +37708*a(n-14) +69192*a(n-15) -16620*a(n-16) -247948*a(n-17) -181648*a(n-18) +265738*a(n-19) +294365*a(n-20) -25710*a(n-21) -311918*a(n-22) +1014729*a(n-23) +1556509*a(n-24) -3780019*a(n-25) -6949650*a(n-26) -2669749*a(n-27) +16905404*a(n-28) +19548332*a(n-29) -4383804*a(n-30) -36037146*a(n-31) -30507685*a(n-32) +15475748*a(n-33) +43855826*a(n-34) +30266708*a(n-35) -13081195*a(n-36) -21467990*a(n-37) -16915949*a(n-38) +7498639*a(n-39) +2382846*a(n-40) -6646771*a(n-41) +22164150*a(n-42) -20152361*a(n-43) -372616*a(n-44) -19073865*a(n-45) +18150630*a(n-46) +4473011*a(n-47) -14909593*a(n-48) +1916272*a(n-49) -15127805*a(n-50) +20327817*a(n-51) +1517558*a(n-52) -6955067*a(n-53) -6298662*a(n-54) +7138737*a(n-55) +6828905*a(n-56) -5259661*a(n-57) +1095788*a(n-58) +569873*a(n-59) +859792*a(n-60) +1148261*a(n-61) +401017*a(n-62) +1545245*a(n-63) +1189595*a(n-64) +590643*a(n-65) -31467*a(n-66) -26637*a(n-67) +275467*a(n-68) +196219*a(n-69) +198819*a(n-70) +39906*a(n-71) -32890*a(n-72) +32129*a(n-73) +8601*a(n-74) -1306*a(n-75) +613*a(n-76) -1805*a(n-77) -174*a(n-78) -1197*a(n-79) +21*a(n-80) +378*a(n-81) -27*a(n-82) for n>85
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EXAMPLE
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Some solutions for n=4
..0..1..0..0....0..0..0..1....0..0..0..0....0..1..0..0....0..1..1..1
..1..0..1..0....1..1..1..1....0..1..1..0....0..1..0..0....1..0..0..0
..0..0..0..0....0..0..1..1....1..1..1..1....1..1..0..1....0..0..0..1
..1..0..1..1....1..0..1..0....1..1..0..0....0..1..0..1....0..0..1..1
..0..0..1..1....1..1..1..1....1..0..0..0....1..1..0..0....0..1..1..1
..0..0..0..1....0..0..0..0....0..0..0..1....1..1..1..1....1..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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