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A223573 Number of nX5 0..2 arrays with antidiagonals unimodal 1

%I #6 Mar 22 2013 18:15:44

%S 243,59049,7762392,746600976,64207683936,5521860818496,

%T 474880030390656,40839682613596416,3512212704769291776,

%U 302050292610159092736,25976325164473681975296,2233963964144736649875456

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

%C Column 5 of A223576

%H R. H. Hardin, <a href="/A223573/b223573.txt">Table of n, a(n) for n = 1..210</a>

%F Let U(z) = (z^4+6*z^3+23*z^2+18*z+24)/24

%F a(n) = U(min(n,5))^(max(n,5)-min(n,5)+1) * product{ U(i)^2 , i=1..(min(n,5)-1) }

%F a(n) = 86*a(n-1) for n>4

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 22 2013

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Last modified September 19 04:52 EDT 2024. Contains 376004 sequences. (Running on oeis4.)