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Number of nX5 0..2 arrays with rows nondecreasing and antidiagonals unimodal
1

%I #4 Mar 30 2013 09:09:16

%S 21,441,6815,90051,1108969,13275381,157347899,1859567103,21962353421,

%T 259365424097,3063049674271,36174616727819,427225636505145,

%U 5045588330345405,59589072289828011,703755006991845799

%N Number of nX5 0..2 arrays with rows nondecreasing and antidiagonals unimodal

%C Column 5 of A224012

%H R. H. Hardin, <a href="/A224009/b224009.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 21*a(n-1) -141*a(n-2) +427*a(n-3) -546*a(n-4) +526*a(n-5) -2124*a(n-6) +3302*a(n-7) +2396*a(n-8) +7504*a(n-9) +580*a(n-10) +1632*a(n-11)

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 30 2013