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A233366
T(n,k)=Number of (n+1)X(k+1) 0..1 arrays x(i,j) with row sums sum{j*x(i,j), j=1..k+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..n+1} nondecreasing
11
7, 14, 14, 23, 46, 25, 36, 113, 139, 39, 54, 250, 568, 364, 57, 76, 530, 1964, 2639, 849, 81, 104, 1043, 6412, 16113, 10477, 1928, 112, 138, 1939, 19711, 91448, 117318, 38240, 4281, 151, 179, 3422, 56427, 494606, 1206656, 781467, 132356, 9315, 195, 227, 5802
OFFSET
1,1
COMMENTS
Table starts
...7....14......23........36..........54...........76..........104.........138
..14....46.....113.......250.........530.........1043.........1939........3422
..25...139.....568......1964........6412........19711........56427......150258
..39...364....2639.....16113.......91448.......494606......2508451....11763318
..57...849...10477....117318.....1206656.....11689997....106244229...895749726
..81..1928...38240....781467....15009944....270547199...4578333280.72152875243
.112..4281..132356...4826580...173151602...5873283547.187453633375
.151..9315..441895..28172630..1874799298.120044822528
.195.19741.1419797.156288347.19099723173
.247.40967.4391603.832235200
LINKS
EXAMPLE
Some solutions for n=4 k=4
..1..0..0..1..0....0..0..0..1..0....0..0..1..0..0....1..0..0..0..0
..0..1..0..1..0....1..0..0..0..1....0..0..1..1..0....1..1..1..0..0
..0..1..0..0..1....0..1..0..0..1....1..1..0..1..0....0..0..0..1..1
..0..0..1..1..1....0..1..0..0..1....0..0..1..0..1....0..1..1..1..1
..1..1..1..1..1....0..0..1..1..1....0..0..0..1..1....0..1..1..1..1
CROSSREFS
Column 1 is A232871
Row 1 is A232825
Sequence in context: A269160 A286418 A040042 * A232831 A232877 A232860
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 08 2013
STATUS
approved