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%I A232763 #4 Nov 29 2013 17:15:15
%S A232763 86,561,561,2834,14178,2834,11863,272646,272646,11863,42958,4107458,
%T A232763 21416968,4107458,42958,138943,50948495,1310062990,1310062990,
%U A232763 50948495,138943,407544,542603388,64405241459,337676326496,64405241459,542603388
%N 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
%C A232763 Table starts
%C A232763 ......86........561..........2834..........11863..........42958........138943
%C A232763 .....561......14178........272646........4107458.......50948495.....542603388
%C A232763 ....2834.....272646......21416968.....1310062990....64405241459.2666649336535
%C A232763 ...11863....4107458....1310062990...337676326496.68726391200165
%C A232763 ...42958...50948495...64405241459.68726391200165
%C A232763 ..138943..542603388.2666649336535
%C A232763 ..407544.5073736773
%C A232763 .1105315
%H A232763 R. H. Hardin, <a href="/A232763/b232763.txt">Table of n, a(n) for n = 1..39</a>
%e A232763 Some solutions for n=2 k=4
%e A232763 ..0..2..3..0..0....0..2..3..0..1....0..0..0..3..1....0..2..1..2..0
%e A232763 ..0..0..0..0..2....0..2..1..3..1....0..0..0..1..3....0..0..3..0..3
%e A232763 ..0..0..1..3..3....0..0..1..2..3....0..0..2..3..3....1..1..2..3..3
%K A232763 nonn,tabl
%O A232763 1,1
%A A232763 _R. H. Hardin_, Nov 29 2013

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