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Number of nX4 0..3 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order.
1

%I #4 Nov 27 2016 06:48:31

%S 35,1050,33466,1058494,30942600,815294800,19328645044,414671691083,

%T 8109321869307,145580441811727,2414555760264316,37210586178295489,

%U 535549333443944707,7231147745218833289,91971617342903492615

%N Number of nX4 0..3 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order.

%C Column 4 of A278727.

%H R. H. Hardin, <a href="/A278723/b278723.txt">Table of n, a(n) for n = 1..133</a>

%e Some solutions for n=3

%e ..1..0..0..0. .1..0..0..0. .2..2..1..0. .3..1..1..1. .1..1..0..0

%e ..1..0..0..0. .3..1..0..0. .3..0..0..1. .3..2..2..0. .2..1..2..0

%e ..1..3..1..0. .3..3..2..2. .3..2..1..0. .3..3..1..2. .3..2..1..2

%Y Cf. A278727.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 27 2016