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A263337
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T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with each row and column divisible by 13, read as a base-3 number with top and left being the most significant digits.
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3
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3, 7, 7, 19, 19, 19, 57, 57, 57, 57, 169, 409, 277, 409, 169, 505, 2047, 8983, 8983, 2047, 505, 1515, 10747, 86743, 702549, 86743, 10747, 1515, 4543, 70423, 1242727, 18071161, 18071161, 1242727, 70423, 4543, 13627, 427507, 24783643, 805620145
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OFFSET
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1,1
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COMMENTS
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Table starts
....3.....7......19.......57......169.......505.....1515...4543.13627
....7....19......57......409.....2047.....10747....70423.427507
...19....57.....277.....8983....86743...1242727.24783643
...57...409....8983...702549.18071161.805620145
..169..2047...86743.18071161
..505.10747.1242727
.1515.70423
.4543
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LINKS
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Table of n, a(n) for n=1..40.
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FORMULA
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Empirical for column k:
k=1: a(n) = 3*a(n-1) +a(n-3) -3*a(n-4)
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EXAMPLE
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Some solutions for n=3 k=4
..2..2..2..1..1..1....0..1..0..2..1..2....2..2..2..2..2..2....0..1..2..2..1..0
..1..0..1..1..2..1....0..0..0..2..2..2....1..1..2..1..1..0....0..0..0..1..1..1
..2..2..2..2..2..2....1..1..1..2..2..2....2..0..2..0..2..0....2..2..2..2..2..2
..0..0..0..1..1..1....1..0..1..0..1..0....0..2..0..2..0..2....2..1..0..0..1..2
..1..2..1..1..0..1....1..1..1..0..0..0....1..0..0..0..1..1....2..2..2..1..1..1
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CROSSREFS
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Sequence in context: A240427 A239047 A229521 * A160994 A113833 A212286
Adjacent sequences: A263334 A263335 A263336 * A263338 A263339 A263340
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin, Oct 15 2015
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STATUS
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approved
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