A232860 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays x(i,j) with row sums sum{j^3*x(i,j), j=1..k+1} nondecreasing, and column sums sum{i^3*x(i,j), i=1..n+1} nondecreasing

7, 14, 14, 25, 45, 25, 41, 130, 130, 41, 61, 336, 650, 336, 61, 86, 755, 2942, 2942, 755, 86, 117, 1494, 11445, 24520, 11445, 1494, 117, 156, 2696, 37040, 178630, 178630, 37040, 2696, 156, 204, 4713, 101369, 1054179, 2547039, 1054179, 101369, 4713, 204

Offset

1,1

Comments

Table starts

...7....14......25........41..........61...........86..........117..........156

..14....45.....130.......336.........755.........1494.........2696.........4713

..25...130.....650......2942.......11445........37040.......101369.......257799

..41...336....2942.....24520......178630......1054179......4995346.....20815986

..61...755...11445....178630.....2547039.....29338491....266176765...2040969695

..86..1494...37040...1054179....29338491....672737568..12123627839.180942639975

.117..2696..101369...4995346...266176765..12123627839.449539533113

.156..4713..257799..20815986..2040969695.180942639975

.204..8039..633068..81415483.14195455926

.262.13380.1515898.310059665

Links

R. H. Hardin, Table of n, a(n) for n = 1..97

Example

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

Crossrefs

Sequence in context: A233366 A232831 A232877 * A232797 A354791 A107976

Adjacent sequences: A232857 A232858 A232859 * A232861 A232862 A232863

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 01 2013

Status

approved