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A252061
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Number of (n+2)X(4+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 1 2 or 4
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1
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843, 2081, 7463, 30182, 126936, 539063, 2292363, 9773184, 41735229, 178241990, 761260246, 3251996084, 13893485960, 59357392808, 253594313945, 1083449440062, 4628929911840, 19776673930806, 84494001730512, 360992877334500
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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) = 5*a(n-1) -4*a(n-2) +18*a(n-3) -43*a(n-4) -75*a(n-5) -71*a(n-6) -14*a(n-7) +1163*a(n-8) +1181*a(n-9) -288*a(n-10) -5603*a(n-11) -9624*a(n-12) +4542*a(n-13) +19131*a(n-14) +28465*a(n-15) -3725*a(n-16) -56484*a(n-17) -64884*a(n-18) -13642*a(n-19) +134506*a(n-20) +142090*a(n-21) +15800*a(n-22) -216233*a(n-23) -233403*a(n-24) +31653*a(n-25) +225748*a(n-26) +190359*a(n-27) -89136*a(n-28) -154108*a(n-29) +40921*a(n-30) +138320*a(n-31) +38200*a(n-32) -296338*a(n-33) -243753*a(n-34) +74536*a(n-35) +384755*a(n-36) +346971*a(n-37) -51489*a(n-38) -249923*a(n-39) -268922*a(n-40) -85223*a(n-41) +3035*a(n-42) +30974*a(n-43) +73433*a(n-44) +80802*a(n-45) +76602*a(n-46) +13180*a(n-47) -21106*a(n-48) -27392*a(n-49) -14576*a(n-50) -796*a(n-51) +1381*a(n-52) +3520*a(n-53) +2270*a(n-54) +1899*a(n-55) +1054*a(n-56) +324*a(n-57) +90*a(n-58) -72*a(n-59) for n>63
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EXAMPLE
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Some solutions for n=4
..2..1..2..2..2..2....2..2..2..2..2..1....1..2..2..2..2..2....2..1..2..2..1..2
..1..2..2..1..2..2....2..1..2..2..2..2....2..2..1..2..2..1....2..2..2..2..2..1
..2..2..2..2..2..1....2..2..2..2..2..2....2..2..2..2..2..2....2..2..2..2..2..2
..2..2..2..2..2..2....2..2..2..2..2..1....2..1..2..2..2..2....1..2..2..2..2..2
..2..2..2..2..2..2....2..2..2..2..1..2....2..2..2..2..2..1....2..2..2..1..2..2
..2..2..2..2..2..1....2..2..2..1..2..2....2..2..2..2..2..2....2..2..2..2..2..2
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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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