A233366 T(n,k) is the 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

Links

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

Example

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
Some solutions for n=4 and 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