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A211709
T(n,k) = number of n X k nonnegative integer arrays with new values 0 upwards introduced in row major order and every value unique in its row and column.
1
1, 1, 1, 1, 4, 1, 1, 18, 18, 1, 1, 108, 588, 108, 1, 1, 780, 30240, 30240, 780, 1, 1, 6600, 2277600, 17427192, 2277600, 6600, 1, 1, 63840, 234440280, 17741309400, 17741309400, 234440280, 63840, 1, 1, 693840, 31448589480
OFFSET
1,5
EXAMPLE
Table starts:
1 1 1 1 1 1 1 1 1
1 4 18 108 780 6600 63840 693840
1 18 588 30240 2277600 234440280 31448589480
1 108 30240 17427192 17741309400
1 780 2277600 17741309400
1 6600 234440280
1 63840
1
Some solutions for n=4, k=4:
0 1 2 3 0 1 2 3 0 1 2 3 0 1 2 3 0 1 2 3
1 4 0 2 1 2 0 4 4 2 0 1 1 0 3 2 1 0 3 2
2 0 5 1 2 0 1 5 1 0 3 2 2 3 0 4 4 2 0 1
3 2 1 4 3 4 5 0 2 3 1 0 3 2 1 0 5 3 1 0
CROSSREFS
Column 2 is A144085.
Sequence in context: A177262 A203092 A139167 * A323849 A254442 A340476
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Apr 19 2012
STATUS
approved