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

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

R. H. Hardin, Table of n, a(n) for n = 1..96

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

Adjacent sequences: A233363 A233364 A233365 * A233367 A233368 A233369

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 08 2013

Status

approved