A232763 T(n,k)=Number of (n+1)X(k+1) 0..3 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

86, 561, 561, 2834, 14178, 2834, 11863, 272646, 272646, 11863, 42958, 4107458, 21416968, 4107458, 42958, 138943, 50948495, 1310062990, 1310062990, 50948495, 138943, 407544, 542603388, 64405241459, 337676326496, 64405241459, 542603388

Offset

1,1

Comments

Table starts

......86........561..........2834..........11863..........42958........138943

.....561......14178........272646........4107458.......50948495.....542603388

....2834.....272646......21416968.....1310062990....64405241459.2666649336535

...11863....4107458....1310062990...337676326496.68726391200165

...42958...50948495...64405241459.68726391200165

..138943..542603388.2666649336535

..407544.5073736773

.1105315

Links

R. H. Hardin, Table of n, a(n) for n = 1..39

Example

Some solutions for n=2 k=4
..0..2..3..0..0....0..2..3..0..1....0..0..0..3..1....0..2..1..2..0
..0..0..0..0..2....0..2..1..3..1....0..0..0..1..3....0..0..3..0..3
..0..0..1..3..3....0..0..1..2..3....0..0..2..3..3....1..1..2..3..3

Crossrefs

Sequence in context: A231266 A202769 A232756 * A232754 A232760 A232680

Adjacent sequences: A232760 A232761 A232762 * A232764 A232765 A232766

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 29 2013

Status

approved