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 A223563 Number of n X n 0..1 arrays with antidiagonals unimodal 1

%I #8 Dec 18 2015 18:18:31

%S 2,16,448,34496,6071296,2137096192,1363467370496,1463000488542208,

%T 2490026831498838016,6414309117941006729216,

%U 24066487810514657248018432,127383919981054080813761560576,925826330422301059354419022266368

%N Number of n X n 0..1 arrays with antidiagonals unimodal

%C Diagonal of A223569

%H R. H. Hardin, <a href="/A223563/b223563.txt">Table of n, a(n) for n = 1..99</a>

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

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 22 2013

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Last modified September 8 01:34 EDT 2024. Contains 375749 sequences. (Running on oeis4.)