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A202864
T(n,k) = Number of n X n 0..k arrays with row and column sums one greater than the previous row and column.
9
2, 3, 2, 4, 6, 2, 5, 12, 42, 2, 6, 20, 228, 1346, 2, 7, 30, 776, 41852, 223456, 2, 8, 42, 2046, 491892, 80524892, 202999208, 2, 9, 56, 4578, 3436102, 5393851108, 1720483641156, 1049899768685, 2, 10, 72, 9128, 17232446, 147978735402, 1081958661341802
OFFSET
1,1
EXAMPLE
Table starts
.2.............3.............4................5............6........7....8..9
.2.............6............12...............20...........30.......42...56.72
.2............42...........228..............776.........2046.....4578.9128
.2..........1346.........41852...........491892......3436102.17232446
.2........223456......80524892.......5393851108.147978735402
.2.....202999208.1720483641156.1081958661341802
.2.1049899768685
.2
Some solutions for n=4 k=3
..0..1..1..3....1..0..2..1....1..1..0..2....2..1..0..1....1..0..1..0
..1..2..1..2....0..1..1..3....3..0..1..1....1..1..0..3....0..1..1..1
..2..0..2..3....3..3..0..0....0..2..3..1....0..2..3..1....0..0..1..3
..2..3..3..0....0..1..3..3....0..2..2..3....1..1..3..2....1..2..1..1
CROSSREFS
Row 2 is A002378.
Sequence in context: A194998 A215190 A214943 * A328880 A291290 A006047
KEYWORD
nonn,tabl,more
AUTHOR
R. H. Hardin, Dec 25 2011
STATUS
approved