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A257355
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Number of (n+2)X(2+2) 0..1 arrays with no 3x3 subblock diagonal sum equal to the antidiagonal sum or central row sum less than the central column sum
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1
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784, 2116, 6724, 20449, 53824, 145924, 451584, 1368900, 3724900, 10240000, 30603024, 90897156, 253892356, 710862244, 2085383556, 6110861584, 17291198016, 48919707684, 142124476036, 413163557284, 1177385585476, 3351857932864
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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-2) +2*a(n-3) +53*a(n-4) +12*a(n-5) -230*a(n-6) -72*a(n-7) -463*a(n-8) -144*a(n-9) +1301*a(n-10) +170*a(n-11) -1891*a(n-12) -1004*a(n-13) +16562*a(n-14) -748*a(n-15) -186*a(n-16) +5100*a(n-17) -2028*a(n-18) +11416*a(n-19) +16030*a(n-20) +35640*a(n-21) -362906*a(n-22) +277568*a(n-23) +114785*a(n-24) +160612*a(n-25) -1868387*a(n-26) +1107206*a(n-27) +814413*a(n-28) +1376008*a(n-29) -5531494*a(n-30) +1143960*a(n-31) +1612833*a(n-32) +5633280*a(n-33) -8273387*a(n-34) -856522*a(n-35) -38781*a(n-36) +10065296*a(n-37) -3435092*a(n-38) -1561924*a(n-39) -2018936*a(n-40) +6596304*a(n-41) +3880456*a(n-42) -174080*a(n-43) -1021152*a(n-44) -1480896*a(n-45) +897952*a(n-46) -1210624*a(n-47) -983712*a(n-48) -1478016*a(n-49) -653440*a(n-50) +296896*a(n-51) +467328*a(n-52) +862208*a(n-53) +413056*a(n-54) +134656*a(n-55) -120576*a(n-56) -237056*a(n-57) -135936*a(n-58) -97792*a(n-59) +15104*a(n-60) +38912*a(n-61) +39936*a(n-62) +18432*a(n-63) -4096*a(n-64) -4096*a(n-65) -4096*a(n-66) for n>68
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EXAMPLE
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Some solutions for n=4
..0..0..0..0....0..0..0..0....0..0..0..1....1..0..1..1....1..1..0..1
..0..0..0..0....1..1..0..1....1..0..1..0....1..1..0..1....1..1..0..1
..1..0..0..1....1..1..0..0....1..1..0..1....1..1..0..1....1..0..1..1
..1..0..0..1....1..0..1..1....1..1..0..0....0..0..1..1....0..0..1..1
..1..1..1..0....1..1..1..1....1..0..1..1....1..0..1..1....1..1..0..0
..0..1..0..1....0..0..1..0....1..0..1..1....1..1..0..1....1..1..0..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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