A188411
Number of (4*n)X4 binary arrays with rows in nonincreasing order, n ones in every column and no more than 3 ones in any row.
Original entry on oeis.org
14, 124, 723, 3217, 11712, 36659, 101829, 256901, 598561, 1304537, 2685847, 5264872, 9887953, 17884567, 31286432, 53124506, 87823301, 141718060, 223721900, 346177936, 525932968, 785679308, 1155612796, 1675467445, 2396988410
Offset: 1
Some solutions for 8X4
..1..1..0..1....1..0..0..1....1..0..0..1....1..1..1..0....1..0..1..0
..1..0..1..0....1..0..0..0....1..0..0..1....1..1..0..0....1..0..0..0
..0..1..1..1....0..1..0..0....0..1..1..0....0..0..1..0....0..1..1..1
..0..0..0..0....0..1..0..0....0..1..0..0....0..0..0..1....0..1..0..1
..0..0..0..0....0..0..1..1....0..0..1..0....0..0..0..1....0..0..0..0
..0..0..0..0....0..0..1..0....0..0..0..0....0..0..0..0....0..0..0..0
..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
A188412
Number of (5*n)X5 binary arrays with rows in nonincreasing order, n ones in every column and no more than 3 ones in any row.
Original entry on oeis.org
46, 1308, 21965, 252493, 2181522, 15083334, 87171345, 434626896, 1914365683, 7586544223, 27443717856, 91677539685, 285511159634, 835479072942, 2312389036003, 6087264779565, 15314086591293, 36970334246131
Offset: 1
Some solutions for 10X5
..1..1..0..0..0....1..0..0..0..0....1..1..0..0..0....1..0..1..0..0
..1..0..0..0..0....1..0..0..0..0....1..0..1..1..0....1..0..0..1..1
..0..1..0..1..1....0..1..1..1..0....0..1..0..0..0....0..1..0..0..0
..0..0..1..0..0....0..1..1..1..0....0..0..1..0..1....0..1..0..0..0
..0..0..1..0..0....0..0..0..0..1....0..0..0..1..0....0..0..1..0..0
..0..0..0..1..1....0..0..0..0..1....0..0..0..0..1....0..0..0..1..0
..0..0..0..0..0....0..0..0..0..0....0..0..0..0..0....0..0..0..0..1
..0..0..0..0..0....0..0..0..0..0....0..0..0..0..0....0..0..0..0..0
..0..0..0..0..0....0..0..0..0..0....0..0..0..0..0....0..0..0..0..0
..0..0..0..0..0....0..0..0..0..0....0..0..0..0..0....0..0..0..0..0
A188410
Number of (n^2)Xn binary arrays with rows in nonincreasing order, n ones in every column and no more than 3 ones in any row.
Original entry on oeis.org
1, 3, 39, 3217, 2181522, 14100262412, 990154499577167
Offset: 1
All solutions for 4X2
..1..1....1..1....1..0
..1..0....1..1....1..0
..0..1....0..0....0..1
..0..0....0..0....0..1
A188413
Number of (6*n) X 6 binary arrays with rows in nonincreasing order, n ones in every column and no more than 3 ones in any row.
Original entry on oeis.org
166, 17443, 968230, 33313408, 793369090, 14100262412, 197263686098, 2259540285524, 21835069296894, 182229535192536
Offset: 1
Some solutions for 12 X 6
..1..1..0..0..0..0....1..0..0..0..0..0....1..1..0..0..0..0....1..0..0..0..0..0
..1..0..0..1..1..0....1..0..0..0..0..0....1..0..0..0..0..0....1..0..0..0..0..0
..0..1..1..0..0..0....0..1..1..0..1..0....0..1..0..1..0..1....0..1..0..0..0..1
..0..0..1..0..0..0....0..1..0..1..0..1....0..0..1..0..1..1....0..1..0..0..0..0
..0..0..0..1..0..1....0..0..1..0..1..0....0..0..1..0..1..0....0..0..1..1..0..0
..0..0..0..0..1..0....0..0..0..1..0..0....0..0..0..1..0..0....0..0..1..0..1..0
..0..0..0..0..0..1....0..0..0..0..0..1....0..0..0..0..0..0....0..0..0..1..0..1
..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..1..0
..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0
..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0
..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0
..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0
A188414
Number of (7*n)X7 binary arrays with rows in nonincreasing order, n ones in every column and no more than 3 ones in any row.
Original entry on oeis.org
652, 282349, 57967660, 6720357785, 498407294632, 25784105550034, 990154499577167
Offset: 1
Some solutions for 14X7
..1..0..0..0..0..1..1....1..0..0..0..0..1..0....1..0..0..1..0..0..1
..1..0..0..0..0..0..0....1..0..0..0..0..0..0....1..0..0..0..0..0..1
..0..1..0..1..0..0..0....0..1..0..1..1..0..0....0..1..0..1..1..0..0
..0..1..0..0..0..1..0....0..1..0..0..0..0..1....0..1..0..0..0..0..0
..0..0..1..0..0..0..0....0..0..1..1..0..0..0....0..0..1..0..1..0..0
..0..0..1..0..0..0..0....0..0..1..0..0..0..1....0..0..1..0..0..1..0
..0..0..0..1..1..0..0....0..0..0..0..1..0..0....0..0..0..0..0..1..0
..0..0..0..0..1..0..0....0..0..0..0..0..1..0....0..0..0..0..0..0..0
..0..0..0..0..0..0..1....0..0..0..0..0..0..0....0..0..0..0..0..0..0
..0..0..0..0..0..0..0....0..0..0..0..0..0..0....0..0..0..0..0..0..0
..0..0..0..0..0..0..0....0..0..0..0..0..0..0....0..0..0..0..0..0..0
..0..0..0..0..0..0..0....0..0..0..0..0..0..0....0..0..0..0..0..0..0
..0..0..0..0..0..0..0....0..0..0..0..0..0..0....0..0..0..0..0..0..0
..0..0..0..0..0..0..0....0..0..0..0..0..0..0....0..0..0..0..0..0..0
A188415
Number of (8*n)X8 binary arrays with rows in nonincreasing order, n ones in every column and no more than 3 ones in any row.
Original entry on oeis.org
2780, 5396178, 4505774905, 1943505834628, 497114063711190
Offset: 1
Some solutions for 16X8
..1..0..0..0..0..0..0..1....1..0..0..0..0..0..1..1....1..0..0..0..0..0..1..0
..1..0..0..0..0..0..0..0....1..0..0..0..0..0..0..0....1..0..0..0..0..0..0..0
..0..1..0..0..0..0..0..0....0..1..0..0..0..0..1..0....0..1..0..0..0..1..0..0
..0..1..0..0..0..0..0..0....0..1..0..0..0..0..0..1....0..1..0..0..0..0..0..0
..0..0..1..0..1..0..1..0....0..0..1..0..0..1..0..0....0..0..1..0..1..0..1..0
..0..0..1..0..0..0..0..0....0..0..1..0..0..0..0..0....0..0..1..0..0..0..0..1
..0..0..0..1..0..1..0..0....0..0..0..1..1..0..0..0....0..0..0..1..0..0..0..1
..0..0..0..1..0..0..0..0....0..0..0..1..1..0..0..0....0..0..0..1..0..0..0..0
..0..0..0..0..1..0..1..0....0..0..0..0..0..1..0..0....0..0..0..0..1..1..0..0
..0..0..0..0..0..1..0..0....0..0..0..0..0..0..0..0....0..0..0..0..0..0..0..0
..0..0..0..0..0..0..0..1....0..0..0..0..0..0..0..0....0..0..0..0..0..0..0..0
..0..0..0..0..0..0..0..0....0..0..0..0..0..0..0..0....0..0..0..0..0..0..0..0
..0..0..0..0..0..0..0..0....0..0..0..0..0..0..0..0....0..0..0..0..0..0..0..0
..0..0..0..0..0..0..0..0....0..0..0..0..0..0..0..0....0..0..0..0..0..0..0..0
..0..0..0..0..0..0..0..0....0..0..0..0..0..0..0..0....0..0..0..0..0..0..0..0
..0..0..0..0..0..0..0..0....0..0..0..0..0..0..0..0....0..0..0..0..0..0..0..0
A188417
Number of (2*n)Xn binary arrays with rows in nonincreasing order, 2 ones in every column and no more than 3 ones in any row.
Original entry on oeis.org
1, 3, 16, 124, 1308, 17443, 282349, 5396178, 119324602, 3005520274, 85152637884, 2685936442822, 93514176139534
Offset: 1
All solutions for 4X2
..1..1....1..1....1..0
..1..0....1..1....1..0
..0..1....0..0....0..1
..0..0....0..0....0..1
A188418
Number of (3*n)Xn binary arrays with rows in nonincreasing order, 3 ones in every column and no more than 3 ones in any row.
Original entry on oeis.org
1, 4, 39, 723, 21965, 968230, 57967660, 4505774905, 439923593145, 52601045792520
Offset: 1
All solutions for 6X2
..1..0....1..1....1..1....1..1
..1..0....1..1....1..0....1..1
..1..0....1..0....1..0....1..1
..0..1....0..1....0..1....0..0
..0..1....0..0....0..1....0..0
..0..1....0..0....0..0....0..0
A188419
Number of (4*n) X n binary arrays with rows in nonincreasing order, four 1's in every column and no more than three 1's in any row.
Original entry on oeis.org
1, 5, 81, 3217, 252493, 33313408, 6720357785, 1943505834628, 768799728447441
Offset: 1
All solutions for 8 X 2
..1..0....1..1....1..1....1..1....1..1
..1..0....1..1....1..1....1..0....1..1
..1..0....1..1....1..1....1..0....1..0
..1..0....1..1....1..0....1..0....1..0
..0..1....0..0....0..1....0..1....0..1
..0..1....0..0....0..0....0..1....0..1
..0..1....0..0....0..0....0..1....0..0
..0..1....0..0....0..0....0..0....0..0
A188420
Number of (5*n)Xn binary arrays with rows in nonincreasing order, 5 ones in every column and no more than 3 ones in any row.
Original entry on oeis.org
1, 6, 150, 11712, 2181522, 793369090, 498407294632, 497114063711190
Offset: 1
All solutions for 10X2
..1..1....1..1....1..0....1..1....1..1....1..1
..1..1....1..1....1..0....1..0....1..1....1..1
..1..1....1..0....1..0....1..0....1..1....1..1
..1..0....1..0....1..0....1..0....1..1....1..1
..1..0....1..0....1..0....1..0....1..1....1..0
..0..1....0..1....0..1....0..1....0..0....0..1
..0..1....0..1....0..1....0..1....0..0....0..0
..0..0....0..1....0..1....0..1....0..0....0..0
..0..0....0..0....0..1....0..1....0..0....0..0
..0..0....0..0....0..1....0..0....0..0....0..0
Showing 1-10 of 13 results.
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