A232852 T(n,k)=Number of (n+1)X(k+1) 0..2 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

29, 112, 112, 356, 1169, 356, 960, 10020, 10020, 960, 2307, 69096, 250841, 69096, 2307, 5078, 395858, 5049004, 5049004, 395858, 5078, 10265, 1977447, 81165760, 308579489, 81165760, 1977447, 10265, 19632, 8733769, 1100553095, 14915030019

Offset

1,1

Comments

Table starts

....29.......112..........356............960............2307............5078

...112......1169........10020..........69096..........395858.........1977447

...356.....10020.......250841........5049004........81165760......1100553095

...960.....69096......5049004......308579489.....14915030019....598207374258

..2307....395858.....81165760....14915030019...2222069570814.276205144698675

..5078...1977447...1100553095...598207374258.276205144698675

.10265...8733769..12972830143.20699496754858

.19632..35038672.135388726387

.35694.129401308

.62317

Links

R. H. Hardin, Table of n, a(n) for n = 1..58

Example

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

Crossrefs

Sequence in context: A297508 A232780 A232787 * A233117 A209880 A232784

Adjacent sequences: A232849 A232850 A232851 * A232853 A232854 A232855

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 01 2013

Status

approved