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A232787 T(n,k)=Number of (n+1)X(k+1) 0..2 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 4
29, 112, 112, 350, 1169, 350, 938, 9819, 9819, 938, 2245, 65492, 242252, 65492, 2245, 4897, 373614, 4641048, 4641048, 373614, 4897, 9932, 1844746, 74536295, 270627569, 74536295, 1844746, 9932, 19033, 8112547, 1009610447, 13242432197, 13242432197 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

....29......112.........350..........938..........2245.........4897........9932

...112.....1169........9819........65492........373614......1844746.....8112547

...350.....9819......242252......4641048......74536295...1009610447.11868407907

...938....65492.....4641048....270627569...13242432197.532532064179

..2245...373614....74536295..13242432197.2004915624292

..4897..1844746..1009610447.532532064179

..9932..8112547.11868407907

.19033.32677547

.34678

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..48

EXAMPLE

Some solutions for n=2 k=4

..2..1..1..0..2....0..0..0..2..0....0..0..0..0..1....2..1..1..0..2

..0..1..2..1..2....1..2..1..2..1....0..0..1..1..1....2..1..1..2..2

..0..0..0..2..2....0..0..1..1..2....0..1..1..1..1....0..2..2..2..2

CROSSREFS

Sequence in context: A256648 A297508 A232780 * A232852 A233117 A209880

Adjacent sequences:  A232784 A232785 A232786 * A232788 A232789 A232790

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 30 2013

STATUS

approved

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Last modified August 11 05:13 EDT 2022. Contains 356046 sequences. (Running on oeis4.)