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A223566 Number of nX5 0..1 arrays with antidiagonals unimodal 1

%I #6 Mar 22 2013 18:18:20

%S 32,1024,21952,379456,6071296,97140736,1554251776,24868028416,

%T 397888454656,6366215274496,101859444391936,1629751110270976,

%U 26076017764335616,417216284229369856,6675460547669917696

%N Number of nX5 0..1 arrays with antidiagonals unimodal

%C Column 5 of A223569

%H R. H. Hardin, <a href="/A223566/b223566.txt">Table of n, a(n) for n = 1..210</a>

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

%F a(n) = 16*a(n-1) for n>4

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 22 2013

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Last modified September 6 00:26 EDT 2024. Contains 375701 sequences. (Running on oeis4.)