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Number of n X 2 0..7 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.

1

`%I #8 Dec 27 2023 01:03:15
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`%S 28,140,334,103,14881,246332,838638,324469,54328646,960991707,
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`%T 3157790020,1057637803,221465699177,4636455864017,17172840400292,
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`%U 6213696250684,1322921262723003,27235717697960253,96311573893944098,32407513702617077
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`%N Number of n X 2 0..7 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.
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`%C Column 2 of A201105.
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`%H R. H. Hardin, <a href="/A201102/b201102.txt">Table of n, a(n) for n = 1..21</a>
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`%e Some solutions for n=5
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`%e ..0..2....0..1....0..1....0..2....0..1....0..1....0..3....0..2....0..3....0..1
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`%e ..0..3....2..3....0..4....1..6....3..5....0..1....2..4....0..5....0..3....2..6
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`%e ..1..4....1..2....2..3....4..7....2..4....2..3....1..7....1..4....1..6....2..5
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`%e ..4..5....5..7....1..5....3..5....6..6....5..6....4..6....3..7....4..5....3..7
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`%e ..6..7....4..6....6..7....2..6....4..7....4..7....2..5....5..6....2..7....4..7
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`%Y Cf. A201105.
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`%K nonn
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`%O 1,1
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`%A _R. H. Hardin_, Nov 26 2011
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