A232797 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays x(i,j) with row sums sum{j^4*x(i,j), j=1..k+1} nondecreasing, and column sums sum{i^4*x(i,j), i=1..n+1} nondecreasing

7, 14, 14, 25, 45, 25, 41, 130, 130, 41, 63, 336, 650, 336, 63, 92, 785, 2942, 2942, 785, 92, 124, 1682, 11819, 24520, 11819, 1682, 124, 164, 3147, 42305, 183010, 183010, 42305, 3147, 164, 212, 5503, 127788, 1202234, 2625117, 1202234, 127788, 5503, 212

Offset

1,1

Comments

Table starts

...7....14......25........41...........63.............92.............124

..14....45.....130.......336..........785...........1682............3147

..25...130.....650......2942........11819..........42305..........127788

..41...336....2942.....24520.......183010........1202234.........6552283

..63...785...11819....183010......2625117.......33345183.......349972980

..92..1682...42305...1202234.....33345183......836488618.....17452506031

.124..3147..127788...6552283....349972980....17452506031....738302560541

.164..5503..340647..30323734...3057451085...300697300448..25786803621594

.212..9093..812254.119567288..22080850326..4213428870171.728236411637198

.270.14712.1845329.429359835.139531590875.50295798679859

Links

R. H. Hardin, Table of n, a(n) for n = 1..126

Example

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

Crossrefs

Sequence in context: A232831 A232877 A232860 * A354791 A107976 A022557

Adjacent sequences: A232794 A232795 A232796 * A232798 A232799 A232800

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 30 2013

Status

approved