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A184101
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T(n,k)=One quarter the number of nXk toroidal 0..3 arrays with each element having the sum of its vertical neighbors equal to the sum of its horizontal neighbors
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2
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1, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 4, 85, 4, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 484, 1, 4, 1, 1, 1, 85, 1, 1, 85, 1, 1, 1, 4, 1, 4, 3661, 4, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 85, 484, 1, 28900, 1, 484, 85, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 4, 1, 4, 137845, 4, 1, 4, 1, 4, 1, 1, 1
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OFFSET
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1,5
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COMMENTS
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One quarter the number of solutions in 0..3 of a 1-d velocity-one wave equation utt=uxx on a periodic grid
Table starts
.1.1..1...1....1.....1......1.......1..1....1.1.....1.1.1..1.1.1
.1.4..1...4....1.....4......1.......4..1....4.1.....4.1.4..1.4
.1.1.85...1....1....85......1.......1.85....1.1....85.1.1.85
.1.4..1.484....1.....4......1.....484..1....4.1...484.1.4
.1.1..1...1.3661.....1......1.......1..1.3661.1.....1.1
.1.4.85...4....1.28900......1.......4.85....4.1.28900
.1.1..1...1....1.....1.137845.......1..1....1.1
.1.4..1.484....1.....4......1.1322500..1....4
.1.1.85...1....1....85......1.......1
.1.4..1...4.3661.....4......1
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..144
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EXAMPLE
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Some solutions for 9X3
..3..0..3....1..1..1....3..2..0....2..1..1....1..0..2....3..1..2....1..2..1
..3..3..0....0..1..2....1..1..3....2..2..0....2..1..0....0..3..3....1..2..1
..0..3..3....2..1..0....1..2..2....0..1..3....0..2..1....3..2..1....2..0..2
..3..0..3....1..1..1....3..2..0....2..1..1....1..0..2....3..1..2....1..2..1
..3..3..0....0..1..2....1..1..3....2..2..0....2..1..0....0..3..3....1..2..1
..0..3..3....2..1..0....1..2..2....0..1..3....0..2..1....3..2..1....2..0..2
..3..0..3....1..1..1....3..2..0....2..1..1....1..0..2....3..1..2....1..2..1
..3..3..0....0..1..2....1..1..3....2..2..0....2..1..0....0..3..3....1..2..1
..0..3..3....2..1..0....1..2..2....0..1..3....0..2..1....3..2..1....2..0..2
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CROSSREFS
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Sequence in context: A110916 A185058 A204160 * A164561 A178764 A070010
Adjacent sequences: A184098 A184099 A184100 * A184102 A184103 A184104
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin Jan 09 2011
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STATUS
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approved
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