A233058
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*x(i,j), i=1..n+1} nondecreasing.
Original entry on oeis.org
7, 16, 33, 66, 132, 265, 530, 1052, 2092, 4183, 8354, 16635, 33179, 66383, 132711, 264751, 528676, 1057904, 2115653, 4224206, 8439821, 16888361, 33778253, 67474289, 134850638, 269827760, 539703540, 1078399254, 2155614282, 4313028554
Offset: 1
Some solutions for n=5
..1..0....0..0....0..0....0..0....0..1....0..0....0..0....0..0....0..0....0..0
..1..0....0..0....0..0....0..0....0..1....1..0....0..1....0..0....0..0....0..1
..0..1....0..0....0..0....0..0....0..1....0..1....0..1....0..0....0..1....0..1
..0..1....0..1....0..0....1..1....0..1....0..1....1..1....0..0....1..0....0..1
..0..1....1..0....1..0....1..1....1..0....0..1....1..1....0..0....1..0....0..1
..0..1....0..1....0..1....1..1....1..1....0..1....1..1....1..1....0..1....0..1
A233059
Number of (n+1)X(2+1) 0..1 arrays x(i,j) with row sums sum{x(i,j), j=1..2+1} nondecreasing, and column sums sum{i*x(i,j), i=1..n+1} nondecreasing.
Original entry on oeis.org
13, 47, 161, 564, 1933, 6529, 21904, 72710, 238992, 781279, 2537019, 8187471, 26318697, 84221878, 268396362, 852861982, 2701532776, 8532060967, 26887756403, 84535960052, 265197189246, 830543999898, 2596441897488, 8103132791812
Offset: 1
Some solutions for n=5
..0..0..1....0..0..1....0..0..0....0..1..0....0..0..0....0..0..1....0..1..0
..0..0..1....1..0..1....0..0..0....1..0..0....1..1..0....0..0..1....1..0..0
..1..1..0....1..0..1....1..0..0....0..1..1....0..1..1....0..1..0....0..1..1
..1..1..0....1..1..0....0..0..1....0..1..1....1..0..1....1..0..1....1..0..1
..1..0..1....0..1..1....0..1..1....1..1..0....1..0..1....0..1..1....0..1..1
..0..1..1....1..1..1....1..1..1....1..0..1....0..1..1....0..1..1....1..1..1
A233063
Number of (2+1) X (n+1) 0..1 arrays x(i,j) with row sums sum{x(i,j), j=1..n+1} nondecreasing, and column sums sum{i*x(i,j), i=1..2+1} nondecreasing.
Original entry on oeis.org
16, 47, 130, 319, 755, 1680, 3673, 7751, 16254, 33352, 68448, 138469, 281122, 564810, 1140621, 2284335, 4601127, 9201288, 18508319, 36987885, 74343834, 148524185, 298379462, 596003105, 1196923732, 2390589937, 4799574872, 9585538381
Offset: 1
Some solutions for n=5
..0..0..1..0..0..1....0..0..1..1..0..1....0..0..1..0..0..0....0..0..1..0..1..1
..0..0..0..1..1..1....0..0..1..0..1..1....0..0..1..0..0..1....0..0..1..0..1..1
..1..1..1..1..1..1....0..1..0..1..1..1....0..1..0..1..1..1....1..1..0..1..0..1
A233064
Number of (3+1)X(n+1) 0..1 arrays x(i,j) with row sums sum{x(i,j), j=1..n+1} nondecreasing, and column sums sum{i*x(i,j), i=1..3+1} nondecreasing.
Original entry on oeis.org
33, 161, 723, 2875, 10650, 36674, 119979, 373955, 1122568, 3255885, 9181781, 25238126, 67893216, 179078191, 464403265, 1185772147, 2986754467, 7429480493, 18276519761, 44500586535, 107358553904, 256796921471, 609508203405
Offset: 1
Some solutions for n=5
..0..1..0..1..1..1....1..0..1..1..0..0....0..0..1..1..0..1....1..0..0..1..0..0
..1..0..1..1..1..1....0..1..1..1..0..0....0..0..1..0..1..1....0..1..1..0..0..1
..1..0..1..1..1..1....1..1..0..0..1..1....1..1..0..1..1..1....0..0..1..0..1..1
..0..1..1..1..1..1....0..0..1..1..1..1....1..1..1..1..1..1....0..0..0..1..1..1
A233065
Number of (4+1)X(n+1) 0..1 arrays x(i,j) with row sums sum{x(i,j), j=1..n+1} nondecreasing, and column sums sum{i*x(i,j), i=1..4+1} nondecreasing.
Original entry on oeis.org
66, 564, 4393, 30692, 197625, 1180594, 6637131, 35376058, 180164000, 881727864, 4167848342, 19104362313, 85219992355, 371017908349, 1580512646968, 6602183440874, 27094731309792, 109419938432611, 435460987461844
Offset: 1
Some solutions for n=4
..0..0..0..0..0....1..0..0..0..0....0..0..0..1..0....0..1..1..1..1
..0..0..1..0..1....0..1..0..1..0....0..0..1..0..1....1..1..0..1..1
..0..1..0..1..1....1..1..0..0..1....0..1..0..1..1....1..0..1..1..1
..0..1..0..1..1....0..0..1..1..1....0..0..1..1..1....0..1..1..1..1
..1..0..1..1..1....0..0..1..1..1....0..0..1..1..1....0..1..1..1..1
A233060
Number of (n+1)X(3+1) 0..1 arrays x(i,j) with row sums sum{x(i,j), j=1..3+1} nondecreasing, and column sums sum{i*x(i,j), i=1..n+1} nondecreasing.
Original entry on oeis.org
22, 130, 723, 4393, 26819, 162916, 986252, 5942365, 35694392, 213988742, 1280906379, 7658873200, 45771779047, 273459449270, 1633697384455
Offset: 1
Some solutions for n=5
..0..0..1..0....0..0..1..0....0..0..0..1....0..0..1..1....0..0..1..1
..1..0..0..0....0..0..1..1....0..0..0..1....1..0..0..1....0..1..0..1
..1..0..0..0....1..0..0..1....1..0..0..0....1..0..0..1....1..0..0..1
..0..0..1..1....0..0..1..1....0..0..1..0....0..0..1..1....0..0..1..1
..0..1..0..1....0..1..0..1....0..0..0..1....0..1..1..0....0..1..1..1
..1..1..1..1....0..1..1..0....0..1..1..1....0..1..1..1....1..1..1..1
A233061
Number of (n+1)X(4+1) 0..1 arrays x(i,j) with row sums sum{x(i,j), j=1..4+1} nondecreasing, and column sums sum{i*x(i,j), i=1..n+1} nondecreasing.
Original entry on oeis.org
34, 319, 2875, 30692, 334580, 3654675, 39886178, 433495407, 4690717033, 50556528980
Offset: 1
Some solutions for n=5
..0..0..1..0..1....0..0..0..1..0....0..0..1..0..0....0..0..0..1..1
..1..0..1..0..0....0..0..0..1..1....1..0..1..1..0....1..0..1..0..0
..0..0..1..1..0....0..1..0..1..0....1..0..1..0..1....0..1..0..1..0
..0..1..0..1..0....1..0..1..1..1....0..1..0..1..1....0..0..1..1..1
..1..0..0..1..1....0..1..1..1..1....0..1..1..1..1....0..1..0..1..1
..0..1..1..0..1....1..1..1..0..1....0..1..1..1..1....1..0..1..0..1
A233066
Number of (5+1)X(n+1) 0..1 arrays x(i,j) with row sums sum{x(i,j), j=1..n+1} nondecreasing, and column sums sum{i*x(i,j), i=1..5+1} nondecreasing.
Original entry on oeis.org
132, 1933, 26819, 334580, 3849923, 41069900, 410815334, 3882304854, 34909282490, 300390631126, 2485871001226, 19866918000644, 153888527063899
Offset: 1
Some solutions for n=4
..0..0..0..0..1....0..0..0..0..1....0..0..0..1..0....0..0..0..1..0
..0..0..1..0..1....0..0..0..0..1....0..0..0..1..0....0..0..0..1..0
..1..0..0..1..0....0..0..1..0..0....0..0..1..0..1....0..0..1..1..0
..0..1..0..1..1....1..0..0..0..1....0..1..0..1..1....0..0..0..1..1
..0..0..1..1..1....0..0..0..1..1....0..0..1..1..1....0..1..0..0..1
..1..1..1..1..1....0..1..1..1..1....0..1..1..1..1....0..0..1..0..1
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