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Number of n X n 0..2 arrays with rows unimodal and columns nondecreasing
1

%I #6 Dec 18 2015 18:18:33

%S 3,36,684,15779,408222,11444292,340780382,10635858679,344674481333,

%T 11518916935288,394956511554556,13839075880034056,494013661434533634,

%U 17921279299283914328,659361786079631903704,24563166523294240335463

%N Number of n X n 0..2 arrays with rows unimodal and columns nondecreasing

%C Diagonal of A224190

%H R. H. Hardin, <a href="/A224184/b224184.txt">Table of n, a(n) for n = 1..19</a>

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Apr 01 2013