A233055 - OEIS

%I #4 Dec 03 2013 18:50:21

%S 84,517,567,2504,12943,3133,10259,230008,263629,14845,36681,3388003,

%T 17810392,4493649,63271,117336,42636091,1003305932,1158868388,

%U 67014557,247417,342631,469323351,48050514719,252737269997,65031861708,897520231

%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays x(i,j) with row sums sum{j*x(i,j), j=1..k+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..n+1} nondecreasing

%C Table starts

%C .....84.......517........2504........10259.......36681....117336.....342631

%C ....567.....12943......230008......3388003....42636091.469323351.4607489801

%C ...3133....263629....17810392...1003305932.48050514719

%C ..14845...4493649..1158868388.252737269997

%C ..63271..67014557.65031861708

%C .247417.897520231

%C .902423

%H R. H. Hardin, <a href="/A233055/b233055.txt">Table of n, a(n) for n = 1..30</a>

%e Some solutions for n=2 k=4

%e ..1..1..3..2..0....0..1..1..3..1....0..0..3..2..1....1..1..0..1..0

%e ..0..0..2..1..3....0..0..3..1..2....0..0..2..2..3....0..0..0..0..3

%e ..1..2..1..2..3....0..0..1..3..3....1..2..1..2..3....0..0..3..3..2

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Dec 03 2013