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A203378
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T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every 2X2 subblock having equal diagonal elements or equal antidiagonal elements
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7
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12, 36, 36, 108, 164, 108, 324, 748, 748, 324, 972, 3412, 5208, 3412, 972, 2916, 15564, 36300, 36300, 15564, 2916, 8748, 70996, 253068, 387324, 253068, 70996, 8748, 26244, 323852, 1764360, 4136292, 4136292, 1764360, 323852, 26244, 78732, 1477268
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OFFSET
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1,1
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COMMENTS
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Table starts
....12......36......108........324..........972...........2916.............8748
....36.....164......748.......3412........15564..........70996...........323852
...108.....748.....5208......36300.......253068........1764360.........12301020
...324....3412....36300.....387324......4136292.......44183028........471988172
...972...15564...253068....4136292.....67731264.....1109832180......18189909480
..2916...70996..1764360...44183028...1109832180....27913330472.....702420750924
..8748..323852.12301020..471988172..18189909480...702420750924...27149753088792
.26244.1477268.85762188.5042151644.298154846436.17679917387404.1049837466171436
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..420
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EXAMPLE
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Some solutions for n=4 k=3
..0..0..1..0....1..0..1..1....1..1..0..0....1..1..1..1....1..0..0..0
..0..1..1..1....0..1..1..0....1..1..1..0....1..1..0..1....0..1..0..0
..1..0..1..1....0..0..1..1....1..0..1..1....0..1..1..1....1..0..1..0
..1..1..0..1....1..0..0..1....0..1..1..1....1..1..0..1....1..1..1..1
..1..1..1..1....0..1..0..0....0..0..1..1....1..0..0..0....1..1..0..1
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CROSSREFS
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Column 1 is A003946(n+1)
Column 2 is A147722(n+2)
Sequence in context: A008653 A038006 A205967 * A073543 A074234 A076515
Adjacent sequences: A203375 A203376 A203377 * A203379 A203380 A203381
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin Dec 31 2011
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STATUS
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approved
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