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 A233049 T(n,k)=Number of (n+1)X(k+1) 0..2 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 7

%I

%S 29,106,117,316,1112,406,830,8494,10029,1236,1957,55833,205965,76535,

%T 3486,4221,321015,3663434,4406966,517022,9301,8521,1643645,56606272,

%U 222064761,82425923,3217676,23663,16235,7654949,770098445,9787857650

%N T(n,k)=Number of (n+1)X(k+1) 0..2 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 ....29......106........316.........830.......1957.........4221.......8521

%C ...117.....1112.......8494.......55833.....321015......1643645....7654949

%C ...406....10029.....205965.....3663434...56606272....770098445.9363945606

%C ..1236....76535....4406966...222064761.9787857650.380311866120

%C ..3486...517022...82425923.11779384486

%C ..9301..3217676.1386551033

%C .23663.18578380

%C .58115

%H R. H. Hardin, <a href="/A233049/b233049.txt">Table of n, a(n) for n = 1..40</a>

%e Some solutions for n=2 k=4

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Dec 03 2013

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Last modified December 1 08:58 EST 2022. Contains 358467 sequences. (Running on oeis4.)