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A201830 Number of nX2 0..3 arrays with every diagonal, row and column running average nondecreasing rightwards and downwards and diagonally.

%I A201830 #7 Jul 22 2025 16:21:55
%S A201830 10,50,212,823,3030,10777,37530,128742,437110,1472736,4933374,
%T A201830 16449879,54649472,181008926,598052300,1971884632,6490418396,
%U A201830 21331768570,70022479666,229604183052,752170525867,2462061236121,8053252606139
%N A201830 Number of nX2 0..3 arrays with every diagonal, row and column running average nondecreasing rightwards and downwards and diagonally.
%C A201830 Column 2 of A201836
%H A201830 R. H. Hardin, <a href="/A201830/b201830.txt">Table of n, a(n) for n = 1..36</a>
%e A201830 Some solutions for n=7
%e A201830 ..0..1....0..1....0..1....0..0....0..0....0..0....0..0....1..1....0..0....0..0
%e A201830 ..1..1....1..2....0..1....0..1....1..1....1..1....0..0....1..2....1..1....1..2
%e A201830 ..2..2....1..2....1..3....2..3....1..1....1..3....2..2....1..3....1..1....1..1
%e A201830 ..1..3....1..2....1..3....1..3....1..2....1..3....2..2....1..2....1..2....1..1
%e A201830 ..2..2....2..3....1..2....2..2....1..2....3..3....1..3....2..2....1..1....1..1
%e A201830 ..2..3....3..3....2..3....1..2....1..2....3..3....1..3....2..2....1..1....1..1
%e A201830 ..3..3....3..3....2..3....1..2....1..2....2..3....1..3....2..3....1..1....3..3
%K A201830 nonn
%O A201830 1,1
%A A201830 _R. H. Hardin_ Dec 05 2011