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%I #9 Sep 07 2022 22:09:44
%S 16,108,1296,12000,160000,1715000,24010000,280052640,4032758016,
%T 49700008512,728933458176,9337998878208,138735983333376,
%U 1829038842774000,27435582641610000,369797030228340000,5588044012339360000
%N Number of (n+1) X (n+1) 0..1 arrays with nondecreasing sum of every two consecutive values in every row and column.
%C Diagonal of A250432.
%H R. H. Hardin, <a href="/A250425/b250425.txt">Table of n, a(n) for n = 1..23</a>
%F a(n+1) = A202092(n). - _R. J. Mathar_, Dec 04 2014
%e Some solutions for n=5
%e ..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..1..0
%e ..0..0..0..0..1..0....0..0..0..1..0..1....0..0..0..0..1..1....0..0..0..1..1..1
%e ..0..0..0..1..1..1....0..0..0..0..1..1....0..0..0..1..1..1....1..0..1..0..1..1
%e ..0..0..0..0..1..0....0..0..0..1..1..1....0..1..1..1..1..1....0..1..0..1..1..1
%e ..1..1..1..1..1..1....1..0..1..0..1..1....1..1..1..1..1..1....1..0..1..0..1..1
%e ..0..0..0..1..1..1....1..0..1..1..1..1....0..1..1..1..1..1....0..1..0..1..1..1
%Y Cf. A202092, A250432.
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 22 2014