Displaying 1-7 of 7 results found.
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Number of nX2 0..6 arrays with every row and column running average nondecreasing rightwards and downwards
+10
1
28, 336, 3636, 37254, 368218, 3543465, 33420304, 310188575, 2842734858, 25785030510, 231905061219, 2071004316674, 18384294374976, 162358277380149, 1427441485073845, 12500646342073494, 109091420391340409
EXAMPLE
Some solutions for n=3
..1..1....0..0....1..2....0..0....1..5....0..5....0..3....0..3....1..5....0..2
..6..6....0..3....2..5....0..1....3..5....1..6....3..3....0..6....4..6....0..2
..5..5....0..2....4..5....4..4....3..5....4..6....2..3....4..5....3..6....2..5
Number of nX3 0..6 arrays with every row and column running average nondecreasing rightwards and downwards
+10
1
106, 3636, 110854, 3167295, 86468392, 2279060645, 58497330607, 1470248361721, 36345145877004, 886386298107620, 21376162175779039, 510658443459103773, 12100575606121151494, 284720818089996296210, 6658048676892055486889
EXAMPLE
Some solutions for n=4
..0..0..3....0..0..2....0..0..4....0..0..2....0..0..1....0..0..0....0..0..1
..0..3..4....0..0..4....0..3..4....0..0..3....0..0..4....0..0..4....0..0..1
..0..3..6....3..6..5....0..3..6....0..4..6....0..4..4....0..5..5....0..5..5
..2..4..5....6..6..6....4..6..5....0..6..6....5..5..6....3..3..4....2..3..3
Number of nX4 0..6 arrays with every row and column running average nondecreasing rightwards and downwards
+10
1
388, 37254, 3167295, 250149820, 18714498069, 1342587653727, 93360032845673, 6335655315992974, 421865904772827987, 27660730981017838471, 1790599737428642496028, 114654496418709581646953
EXAMPLE
Some solutions for n=3
..0..0..1..5....0..0..0..1....0..0..0..1....0..0..0..1....0..0..2..4
..0..1..1..5....0..1..2..6....0..1..2..5....0..0..3..5....0..0..2..4
..0..3..3..6....2..6..4..5....1..2..3..3....0..5..3..4....0..0..3..6
Number of n X n 0..6 arrays with every row and column running average nondecreasing rightwards and downwards
+10
0
7, 336, 110854, 250149820, 3807002935896
EXAMPLE
Some solutions for n=3
..1..4..3....0..2..4....0..1..1....0..1..2....0..0..2....0..0..0....1..2..3
..2..6..5....2..5..4....1..1..4....2..2..5....2..4..3....0..2..4....5..5..6
..3..5..4....2..5..5....4..5..6....3..5..6....1..5..5....4..5..5....3..6..6
Number of nX5 0..6 arrays with every row and column running average nondecreasing rightwards and downwards
+10
0
1387, 368218, 86468392, 18714498069, 3807002935896, 738228105542702, 138224799691696144, 25201320751243781001
EXAMPLE
Some solutions for n=3
..0..0..0..0..2....0..0..0..4..4....0..0..0..1..6....0..0..0..1..1
..0..0..0..1..5....0..0..3..5..4....0..0..0..1..6....0..0..3..1..2
..0..0..0..2..5....0..0..2..6..6....0..0..1..2..6....0..0..2..3..4
Number of n X 6 0..6 arrays with every row and column running average nondecreasing rightwards and downwards.
+10
0
4874, 3543465, 2279060645, 1342587653727, 738228105542702
EXAMPLE
Some solutions for n=3
..0..0..0..0..1..5....0..0..0..0..1..2....0..0..0..0..0..1....0..0..0..0..1..3
..0..0..0..0..1..5....0..0..0..0..2..4....0..0..0..0..2..2....0..0..0..0..2..4
..0..0..3..6..5..5....0..0..1..3..5..4....0..0..6..6..6..5....0..0..2..2..4..6
Number of nX7 0..6 arrays with every row and column running average nondecreasing rightwards and downwards
+10
0
16919, 33420304, 58497330607, 93360032845673, 138224799691696144
EXAMPLE
Some solutions for n=2
..0..0..0..2..3..5..3....0..0..0..2..3..4..4....0..0..0..1..3..1..2
..0..0..0..2..3..5..4....0..0..0..3..5..6..6....0..0..0..1..3..6..6
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