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A232654
T(n,k)=Number of (n+2)X(k+2) 0..1 arrays x(i,j) with every row sum{j*x(i,j), j=1..k+2} equal, and every column sum{i*x(i,j), i=1..n+2} equal, with upper left element zero
8
2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 5, 1, 7, 1, 5, 8, 5, 7, 7, 5, 8, 1, 8, 1, 7, 1, 8, 1, 1, 1, 19, 1, 1, 19, 1, 1, 36, 1, 55, 19, 186, 19, 55, 1, 36, 63, 36, 1, 55, 557, 557, 55, 1, 36, 63, 1, 63, 259, 1, 1, 2004, 1, 1, 259, 63, 1, 1, 1, 613, 259, 1, 571, 571, 1, 259, 613, 1, 1, 362, 1, 1, 613, 31989
OFFSET
1,1
COMMENTS
Table starts
..2..2...1...1......5.......8......1......1.....36......63.....1......1
..2..2...1...1......5.......8......1......1.....36......63.....1......1
..1..1...7...7......1......19.....55......1....259.....613.....1...3571
..1..1...7...7......1......19.....55......1....259.....613..2761...7615
..5..5...1...1....186.....557......1......1..31989..139905.19105..27769
..8..8..19..19....557....2004....571......1.209288.1044803.....1.351375
..1..1..55..55......1.....571..27453..70897..66043..304485
..1..1...1...1......1.......1..70897.419803.953905
.36.36.259.259..31989..209288..66043.953905
.63.63.613.613.139905.1044803.304485
LINKS
EXAMPLE
Some solutions for n=5 k=5
..0..1..1..1..1..0..0....0..1..0..0..1..0..1....0..0..1..0..1..1..0
..0..1..1..1..1..0..0....0..1..0..0..1..0..1....0..1..0..0..1..0..1
..1..0..0..0..0..1..1....1..0..1..1..0..1..0....1..1..0..1..0..0..1
..1..1..0..1..0..0..1....0..0..1..0..1..1..0....0..1..0..0..1..0..1
..0..0..1..0..1..1..0....1..1..0..1..0..0..1....1..1..0..1..0..0..1
..0..0..1..0..1..1..0....1..1..0..1..0..0..1....1..0..1..1..0..1..0
..1..1..0..1..0..0..1....0..0..1..0..1..1..0....0..0..1..0..1..1..0
CROSSREFS
Column 1 equals column 2
Sequence in context: A096831 A191516 A168141 * A105971 A375583 A375582
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 27 2013
STATUS
approved