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A254978
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T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 or 1 and no antidiagonal sum 0 or 1 and no row sum 0 and no column sum 0
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9
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121, 310, 310, 1008, 1282, 1008, 3241, 6915, 6915, 3241, 9961, 27211, 49040, 27211, 9961, 30529, 116534, 260705, 260705, 116534, 30529, 94351, 518534, 1592767, 1892418, 1592767, 518534, 94351, 292130, 2243657, 9673960, 14786310, 14786310
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OFFSET
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1,1
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COMMENTS
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Table starts
.....121.......310........1008.........3241...........9961............30529
.....310......1282........6915........27211.........116534...........518534
....1008......6915.......49040.......260705........1592767..........9673960
....3241.....27211......260705......1892418.......14786310........120085764
....9961....116534.....1592767.....14786310......157053228.......1760294428
...30529....518534.....9673960....120085764.....1760294428......26791709738
...94351...2243657....57587977....951267911....18669294271.....386436174713
..292130...9685030...343845199...7494431489...198281505279....5591072360971
..902991..42217091..2068795871..59709702434..2142895186847...82384470012045
.2789674.183348161.12385458149.473847733773.23011122611592.1203025247852858
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LINKS
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FORMULA
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Empirical for column k:
k=1: [linear recurrence of order 10] for n>11
k=2: [order 20] for n>22
k=3: [order 35] for n>38
k=4: [order 59] for n>62
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EXAMPLE
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Some solutions for n=3 k=4
..0..1..1..1..0..1....0..1..1..1..1..0....0..1..1..1..0..1....0..1..1..1..0..0
..1..1..0..1..0..1....0..1..1..0..1..0....1..1..1..1..1..1....0..1..0..1..1..1
..0..1..1..1..1..1....1..1..1..1..1..1....1..1..1..1..0..0....1..1..1..1..1..0
..1..1..1..1..1..1....0..1..1..1..1..1....0..1..0..1..1..1....1..1..1..1..1..1
..0..1..1..1..0..0....0..0..1..1..1..1....0..1..1..1..1..0....0..1..0..1..1..0
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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