A232877 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays x(i,j) with row sums sum{j^2*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, 25, 45, 25, 39, 130, 130, 39, 57, 311, 650, 311, 57, 81, 637, 2715, 2715, 637, 81, 112, 1235, 8988, 21639, 8988, 1235, 112, 151, 2314, 26553, 133532, 133532, 26553, 2314, 151, 195, 4200, 74515, 706994, 1604460, 706994, 74515, 4200, 195, 247, 7228

Offset

1,1

Comments

Table starts

...7....14......25........39.........57..........81..........112.........151

..14....45.....130.......311........637........1235.........2314........4200

..25...130.....650......2715.......8988.......26553........74515......202293

..39...311....2715.....21639.....133532......706994......3457755....16257008

..57...637....8988....133532....1604460....16272765....146502363..1233883972

..81..1235...26553....706994...16272765...330663907...5853344894.94722968640

.112..2314...74515...3457755..146502363..5853344894.206695177162

.151..4200..202293..16257008.1233883972.94722968640

.195..7228..523052..72992744.9794613332

.247.11846.1268666.309583532

Links

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

Example

Some solutions for n=4 k=4
..1..1..0..0..0....0..0..1..1..0....0..1..0..0..0....1..1..1..0..0
..0..0..1..0..0....1..0..0..0..1....1..0..1..0..0....0..0..0..0..1
..0..1..1..0..0....1..0..1..0..1....1..0..0..1..0....0..0..0..0..1
..0..0..0..1..1....0..1..1..0..1....0..1..0..0..1....0..0..0..0..1
..0..0..1..1..1....0..0..0..1..1....0..0..1..1..1....0..0..0..1..1

Crossrefs

Sequence in context: A040042 A233366 A232831 * A232860 A232797 A354791

Adjacent sequences: A232874 A232875 A232876 * A232878 A232879 A232880

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 01 2013

Status

approved