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Number of nX5 0..2 arrays with every diagonal, row and column running average nondecreasing rightwards and downwards and diagonally.
1

%I #9 Oct 03 2025 09:01:00

%S 32,330,2910,22183,153796,988216,6002677,34907951,196209473,

%T 1073245835,5743380130,30190482143,156366599219,799859107532,

%U 4048379560069,20304198548926,101028745597855,499209984568710,2451625415035065

%N Number of nX5 0..2 arrays with every diagonal, row and column running average nondecreasing rightwards and downwards and diagonally.

%C Column 5 of A201155

%H R. H. Hardin, <a href="/A201152/b201152.txt">Table of n, a(n) for n = 1..30</a>

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 27 2011