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A233297 Number of (n+1)X(1+1) 0..1 arrays x(i,j) with row sums sum{x(i,j), j=1..1+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..n+1} nondecreasing.

%I A233297 #7 Jul 23 2025 07:58:40
%S A233297 7,15,31,64,129,258,515,1029,2055,4107,8211,16410,32811,65624,131224,
%T A233297 262372,524634,1049237,2098363,4196161,8391728,16783688,33567165,
%U A233297 67128918,134250383,268502449,536999938,1073948247,2147837919,4295732271
%N A233297 Number of (n+1)X(1+1) 0..1 arrays x(i,j) with row sums sum{x(i,j), j=1..1+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..n+1} nondecreasing.
%C A233297 Column 1 of A233301
%H A233297 R. H. Hardin, <a href="/A233297/b233297.txt">Table of n, a(n) for n = 1..36</a>
%e A233297 Some solutions for n=5
%e A233297 ..0..0....1..0....1..0....0..0....0..1....0..0....0..1....1..0....1..0....0..0
%e A233297 ..0..0....1..0....1..0....0..0....0..1....0..0....1..0....1..0....1..0....0..0
%e A233297 ..0..1....0..1....1..0....0..1....0..1....0..0....1..0....1..0....0..1....0..0
%e A233297 ..0..1....0..1....0..1....0..1....0..1....1..1....0..1....1..0....0..1....0..0
%e A233297 ..1..0....1..0....0..1....0..1....0..1....1..1....1..1....0..1....1..1....0..0
%e A233297 ..0..1....0..1....1..1....0..1....1..1....1..1....1..1....0..1....1..1....1..1
%K A233297 nonn
%O A233297 1,1
%A A233297 _R. H. Hardin_, Dec 07 2013