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Search: a233366 -id:a233366
Displaying 1-10 of 10 results found.
page 1
     Sort: relevance | references | number | modified | created      Format: long | short | data
A233361
Number of (n+1)X(2+1) 0..1 arrays x(i,j) with row sums sum{j*x(i,j), j=1..2+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..n+1} nondecreasing
+10
1
14, 46, 139, 364, 849, 1928, 4281, 9315, 19741, 40967, 84289, 172238, 349179, 700980, 1406113, 2817168, 5640787, 11280975, 22553200, 45097300, 90149110, 180171641, 360001235, 719290309, 1437274041, 2870143830, 5726092077, 11425527566
(list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 2 of A233366
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..31
EXAMPLE
Some solutions for n=5
..0..0..0....0..0..0....0..1..0....1..0..0....0..0..1....0..0..0....1..1..0
..0..0..0....1..0..0....0..1..0....0..1..0....0..0..1....0..0..0....1..1..0
..0..0..0....0..0..1....0..0..1....0..0..1....1..0..1....1..0..0....0..0..1
..0..0..0....0..0..1....1..1..1....0..1..1....0..1..1....1..0..0....0..0..1
..1..1..0....0..1..1....1..1..1....0..1..1....0..1..1....0..1..1....0..0..1
..0..0..1....1..1..1....1..1..1....0..1..1....0..1..1....0..1..1....1..1..0
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 08 2013
STATUS
approved
A233367
Number of (2+1)X(n+1) 0..1 arrays x(i,j) with row sums sum{j*x(i,j), j=1..n+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..2+1} nondecreasing
+10
1
14, 46, 113, 250, 530, 1043, 1939, 3422, 5802, 9490, 15005, 23117, 34764, 51097, 73611, 104127, 144806, 198364, 268178, 358188, 473002, 618350, 800556, 1026633, 1305256, 1646531, 2061507, 2562949, 3165957, 3886739, 4742930, 5756595, 6950779
(list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Row 2 of A233366
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..63
EXAMPLE
Some solutions for n=5
..0..0..0..0..0..1....0..0..0..0..0..0....1..0..0..1..0..1....1..1..0..0..0..0
..0..0..0..0..0..1....0..0..1..1..1..1....0..0..0..0..1..1....0..0..1..1..1..1
..0..1..1..1..1..1....0..0..1..1..1..1....0..1..1..1..1..1....0..0..1..1..1..1
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 08 2013
STATUS
approved
A233368
Number of (3+1)X(n+1) 0..1 arrays x(i,j) with row sums sum{j*x(i,j), j=1..n+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..3+1} nondecreasing
+10
1
25, 139, 568, 1964, 6412, 19711, 56427, 150258, 375826, 893100, 2024828, 4391269, 9165068, 18490081, 36156100, 68675984, 126997620, 229017852, 403366974, 695484750, 1176286197, 1955039200, 3196887389, 5147543575, 8168623537
(list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Row 3 of A233366
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..31
EXAMPLE
Some solutions for n=5
..1..1..1..0..0..0....1..1..1..0..0..0....0..0..0..1..0..0....0..0..0..0..0..0
..1..1..0..1..1..1....0..0..0..0..0..1....1..0..0..0..1..1....0..1..1..0..0..0
..1..1..0..1..1..1....0..0..0..1..1..1....1..0..1..1..1..1....0..1..0..1..1..1
..0..0..1..1..1..1....1..1..1..1..1..1....0..1..1..1..1..1....0..0..1..1..1..1
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 08 2013
STATUS
approved
A233362
Number of (n+1)X(3+1) 0..1 arrays x(i,j) with row sums sum{j*x(i,j), j=1..3+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..n+1} nondecreasing
+10
0
23, 113, 568, 2639, 10477, 38240, 132356, 441895, 1419797, 4391603, 13112413, 37979354, 106993204, 293812166, 789782037, 2085497193, 5420670439, 13888977532, 35116145716, 87723703925
(list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 3 of A233366
LINKS
Table of n, a(n) for n=1..20.
EXAMPLE
Some solutions for n=5
..0..0..0..0....1..1..0..0....1..1..0..0....0..0..1..1....0..0..0..1
..1..0..0..0....0..0..1..1....1..0..1..0....1..0..1..1....0..0..0..1
..0..1..1..0....0..0..1..1....1..0..0..1....1..0..1..1....0..1..0..1
..1..1..0..1....0..1..1..1....0..1..1..0....0..1..1..1....0..0..1..1
..0..0..1..1....0..1..1..1....0..1..0..1....1..1..1..1....0..1..1..1
..1..1..1..1....0..1..1..1....0..0..1..1....1..1..1..1....1..1..1..1
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 08 2013
STATUS
approved
A233363
Number of (n+1)X(4+1) 0..1 arrays x(i,j) with row sums sum{j*x(i,j), j=1..4+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..n+1} nondecreasing
+10
0
36, 250, 1964, 16113, 117318, 781467, 4826580, 28172630, 156288347, 832235200, 4255521920, 20978491523, 99962490584
(list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 4 of A233366
LINKS
Table of n, a(n) for n=1..13.
EXAMPLE
Some solutions for n=5
..0..0..1..1..0....0..0..1..0..0....0..0..0..0..0....0..0..1..0..0
..1..1..0..1..0....0..1..1..0..0....0..0..0..0..0....0..0..1..1..0
..0..0..1..1..0....0..0..1..0..1....1..0..1..0..1....1..1..0..1..0
..0..1..0..0..1....1..1..0..0..1....1..0..0..1..1....0..1..0..0..1
..1..0..1..1..1....1..1..0..1..1....0..1..1..1..1....0..0..1..1..1
..0..1..1..1..1....0..0..1..1..1....0..1..1..1..1....0..0..1..1..1
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 08 2013
STATUS
approved
A233364
Number of (n+1)X(5+1) 0..1 arrays x(i,j) with row sums sum{j*x(i,j), j=1..5+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..n+1} nondecreasing
+10
0
54, 530, 6412, 91448, 1206656, 15009944, 173151602, 1874799298, 19099723173, 185262737712
(list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 5 of A233366
LINKS
Table of n, a(n) for n=1..10.
EXAMPLE
Some solutions for n=4
..1..1..0..1..0..0....0..1..1..0..0..0....0..0..1..0..0..0....0..0..0..0..0..0
..0..1..0..0..0..1....0..0..0..0..1..0....1..0..1..0..0..0....1..0..0..1..1..0
..0..0..1..0..0..1....0..0..0..0..0..1....0..0..1..1..0..1....0..1..1..0..1..0
..0..0..0..1..0..1....0..0..0..0..1..1....0..0..1..0..1..1....0..1..1..0..0..1
..0..0..0..0..1..1....0..0..0..1..1..1....0..1..0..1..1..1....0..0..0..1..1..1
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 08 2013
STATUS
approved
A233365
Number of (n+1)X(6+1) 0..1 arrays x(i,j) with row sums sum{j*x(i,j), j=1..6+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..n+1} nondecreasing
+10
0
76, 1043, 19711, 494606, 11689997, 270547199, 5873283547, 120044822528
(list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 6 of A233366
LINKS
Table of n, a(n) for n=1..8.
EXAMPLE
Some solutions for n=3
..0..0..1..1..0..0..0....1..0..0..0..0..0..0....0..1..0..0..0..1..1
..0..0..0..1..0..1..1....0..1..0..1..0..0..1....1..1..0..0..1..1..1
..0..0..0..0..1..1..1....0..0..1..0..1..1..1....1..1..0..1..1..1..1
..0..0..1..1..1..1..1....0..0..0..1..1..1..1....0..0..1..1..1..1..1
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 08 2013
STATUS
approved
A233369
Number of (4+1)X(n+1) 0..1 arrays x(i,j) with row sums sum{j*x(i,j), j=1..n+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..4+1} nondecreasing
+10
0
39, 364, 2639, 16113, 91448, 494606, 2508451, 11763318, 51347073, 210818945, 820547818, 3039632158, 10755842167, 36538214364, 119695037477
(list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Row 4 of A233366
LINKS
Table of n, a(n) for n=1..15.
EXAMPLE
Some solutions for n=5
..0..0..1..1..0..0....1..0..1..1..0..0....0..0..1..0..0..0....0..0..0..0..0..0
..0..0..1..0..1..1....1..1..0..0..1..0....0..0..0..1..0..0....0..0..0..1..0..0
..1..0..0..1..1..1....0..1..0..0..0..1....0..0..0..0..1..0....0..1..0..0..1..1
..0..1..0..1..1..1....1..0..1..1..1..1....0..1..0..0..0..1....1..1..0..1..1..1
..0..0..1..1..1..1....0..1..1..1..1..1....0..0..1..1..1..1....0..0..1..1..1..1
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 08 2013
STATUS
approved
A233370
Number of (5+1)X(n+1) 0..1 arrays x(i,j) with row sums sum{j*x(i,j), j=1..n+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..5+1} nondecreasing
+10
0
57, 849, 10477, 117318, 1206656, 11689997, 106244229, 895749726, 6977171013, 50507900590
(list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Row 5 of A233366
LINKS
Table of n, a(n) for n=1..10.
EXAMPLE
Some solutions for n=4
..0..0..0..0..0....1..0..1..0..0....0..0..0..0..0....0..0..1..0..0
..1..0..1..0..0....0..0..0..0..1....1..0..0..0..0....1..0..1..1..0
..0..1..0..0..1....1..0..0..0..1....0..1..0..0..0....0..1..1..0..1
..0..0..0..1..1....0..0..0..1..1....0..0..1..1..1....1..0..0..1..1
..0..0..1..1..1....1..0..0..1..1....0..0..1..1..1....1..0..0..1..1
..0..0..1..1..1....0..1..1..1..1....0..0..1..1..1....0..1..1..1..1
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 08 2013
STATUS
approved
A233371
Number of (6+1)X(n+1) 0..1 arrays x(i,j) with row sums sum{j*x(i,j), j=1..n+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..6+1} nondecreasing
+10
0
81, 1928, 38240, 781467, 15009944, 270547199, 4578333280, 72152875243
(list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Row 6 of A233366
LINKS
Table of n, a(n) for n=1..8.
EXAMPLE
Some solutions for n=3
..1..1..0..0....1..0..0..0....1..0..1..0....1..1..0..0....0..0..0..0
..0..1..0..1....0..0..1..0....1..1..1..0....1..1..0..0....0..1..0..0
..1..1..1..0....1..0..0..1....0..1..0..1....0..1..1..0....0..1..1..0
..0..1..0..1....0..1..1..0....0..0..1..1....0..0..1..1....0..1..0..1
..1..0..1..1....0..1..1..0....1..0..1..1....1..1..0..1....0..0..1..1
..1..0..1..1....0..1..0..1....0..1..1..1....0..0..1..1....0..0..1..1
..0..1..1..1....1..0..1..1....0..1..1..1....1..1..1..1....1..1..1..1
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 08 2013
STATUS
approved
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