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Number of n X n 0..1 arrays with diagonals and rows unimodal and antidiagonals nondecreasing.
1

%I #10 Dec 30 2023 21:41:47

%S 2,12,89,574,3469,20065,114537,650819,3705824,21181267,121617211,

%T 701255335,4058735341,23565789117,137190976378,800437914689,

%U 4678794395883,27391873966579,160581355210547,942493889605853

%N Number of n X n 0..1 arrays with diagonals and rows unimodal and antidiagonals nondecreasing.

%C Diagonal of A224158.

%H R. H. Hardin, <a href="/A224152/b224152.txt">Table of n, a(n) for n = 1..23</a>

%e Some solutions for n=3

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

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

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

%Y Cf. A224158.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 31 2013