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A229418 Number of 4X4 0..n zero-diagonal arrays with corresponding row and column sums equal 0

%I

%S 152,4743,59008,426425,2164680,8583967,28371968,81545697,209841400,

%T 493679879,1078445952,2213497273,4308069416,8009070975,14306664448,

%U 24674505857,41252568408,67081603015,106399491200,165011023737

%N Number of 4X4 0..n zero-diagonal arrays with corresponding row and column sums equal

%C Row 4 of A229417

%F Empirical: a(n) = (29/140)*n^9 + (261/140)*n^8 + (811/105)*n^7 + (289/15)*n^6 + (1921/60)*n^5 + (2221/60)*n^4 + (6323/210)*n^3 + (3539/210)*n^2 + (208/35)*n + 1

%e Some solutions for n=4

%e ..0..1..1..4....0..1..1..4....0..0..2..4....0..0..1..3....0..1..2..3

%e ..0..0..1..2....4..0..1..3....0..0..3..1....1..0..2..2....2..0..3..2

%e ..2..0..0..1....2..3..0..0....4..0..0..1....0..3..0..2....1..4..0..3

%e ..4..2..1..0....0..4..3..0....2..4..0..0....3..2..2..0....3..2..3..0

%K nonn

%O 1,1

%A _R. H. Hardin_ Sep 22 2013

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Last modified November 27 15:36 EST 2021. Contains 349394 sequences. (Running on oeis4.)