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A255801
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T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum 1 and no antidiagonal sum 2 and no row sum 0 and no column sum 3
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9
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70, 134, 134, 210, 166, 210, 409, 178, 178, 409, 733, 262, 158, 262, 733, 1318, 340, 198, 198, 340, 1318, 2380, 472, 256, 200, 256, 472, 2380, 4187, 600, 258, 268, 268, 258, 600, 4187, 7603, 856, 329, 263, 286, 263, 329, 856, 7603, 13623, 1172, 344, 384, 290, 290
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OFFSET
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1,1
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COMMENTS
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Table starts
....70..134.210.409.733.1318.2380.4187.7603.13623.24696.44353.79816.143973
...134..166.178.262.340..472..600..856.1172..1713..2474..3613..5136...7550
...210..178.158.198.256..258..329..344..392...456...597...638...805....892
...409..262.198.200.268..263..384..336..326...344...476...471...708....608
...733..340.256.268.286..290..472..630..674...748...814...866..1540...2190
..1318..472.258.263.290..214..270..358..322...419...486...334...434....622
..2380..600.329.384.472..270..344..452..447...692...832...478...624....828
..4187..856.344.336.630..358..452..766..570...780..1542..1030..1316...2590
..7603.1172.392.326.674..322..447..570..342...466..1026...506...707...1014
.13623.1713.456.344.748..419..692..780..466...616..1388...771..1304...1436
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..2311
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FORMULA
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Empirical for column k:
k=1: [linear recurrence of order 14] for n>21
k=2: [order 18] for n>22
k=3: a(n) = 5*a(n-6) -8*a(n-12) +4*a(n-18) for n>20
k=4: a(n) = 3*a(n-6) -2*a(n-12) for n>15
k=5: a(n) = 5*a(n-6) -4*a(n-12) for n>15
k=6: a(n) = 3*a(n-6) -2*a(n-12) for n>15
k=7: a(n) = 3*a(n-6) -2*a(n-12) for n>15
k=8: a(n) = 5*a(n-6) -4*a(n-12) for n>15
k=9: a(n) = 3*a(n-6) -2*a(n-12) for n>15
k=10: a(n) = 3*a(n-6) -2*a(n-12) for n>15
k=11: a(n) = 5*a(n-6) -4*a(n-12) for n>15
k=12: a(n) = 3*a(n-6) -2*a(n-12) for n>15
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EXAMPLE
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Some solutions for n=4 k=4
..0..0..1..1..1..1....1..0..1..0..1..0....0..1..0..1..0..1....0..1..0..1..1..1
..0..1..0..1..0..0....0..1..0..1..1..0....1..1..0..0..1..0....1..0..1..0..1..0
..1..0..1..0..0..1....1..0..1..0..0..1....0..0..1..1..0..1....0..1..0..1..0..1
..0..1..0..1..0..1....0..1..0..1..0..1....0..0..1..0..1..0....1..0..1..0..1..0
..1..1..0..0..1..0....1..1..0..0..1..0....0..1..0..1..1..0....0..1..0..1..0..0
..0..0..1..1..0..0....0..0..1..1..0..0....1..1..1..0..0..1....1..0..1..0..1..0
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CROSSREFS
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Sequence in context: A113928 A160354 A215111 * A044193 A044574 A255794
Adjacent sequences: A255798 A255799 A255800 * A255802 A255803 A255804
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin, Mar 06 2015
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STATUS
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approved
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