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%I #6 Mar 31 2012 12:36:39
%S 1,1,2,1,3,2,1,4,3,2,1,5,4,3,2,1,6,5,4,3,2,1,7,6,5,4,3,2,1,8,7,6,5,4,
%T 3,2,1,9,10,7,6,5,4,3,2,1,10,13,8,7,6,5,4,3,2,1,11,16,11,8,7,6,5,4,3,
%U 2,1,12,19,14,9,8,7,6,5,4,3,2,1,13,22,21,12,9,8,7,6,5,4,3,2,1,14,25,28,21,10,13
%N T(n,k)=Number of 0..k arrays x(0..n+4) of n+5 elements with zero n-1st differences
%C Table starts
%C .1.1.1.1.1.1..1..1..1..1..1..1..1..1..1...1...1...1...1...1...1..1..1.1
%C .2.3.4.5.6.7..8..9.10.11.12.13.14.15.16..17..18..19..20..21..22.23.24
%C .2.3.4.5.6.7.10.13.16.19.22.25.28.33.38..43..48..53..58..63..70.77
%C .2.3.4.5.6.7..8.11.14.21.28.35.42.49.60..75..90.105.120.139.162
%C .2.3.4.5.6.7..8..9.12.21.30.39.52.65.84.107.130.155.184.221
%C .2.3.4.5.6.7..8..9.10.15.24.39.54.69.92.117.142.171.208
%C .2.3.4.5.6.7..8.13.18.23.30.39.48.63.82.109.142.187
%C .2.3.4.5.6.7..8.11.18.25.32.41.50.63.80.113.150
%C .2.3.4.5.6.7..8..9.12.15.18.21.28.47.66..97
%C .2.3.4.5.6.7..8..9.10.11.12.17.22.35.52
%H R. H. Hardin, <a href="/A200370/b200370.txt">Table of n, a(n) for n = 1..291</a>
%e All solutions for n=9 k=9
%e ..4....1....6....2....0....2....8....9....3....5....7....7
%e ..4....1....6....2....0....6....8....9....3....5....7....3
%e ..4....1....6....2....0....2....8....9....3....5....7....7
%e ..4....1....6....2....0....0....8....9....3....5....7....9
%e ..4....1....6....2....0....2....8....9....3....5....7....7
%e ..4....1....6....2....0....6....8....9....3....5....7....3
%e ..4....1....6....2....0....9....8....9....3....5....7....0
%e ..4....1....6....2....0....9....8....9....3....5....7....0
%e ..4....1....6....2....0....6....8....9....3....5....7....3
%e ..4....1....6....2....0....2....8....9....3....5....7....7
%e ..4....1....6....2....0....0....8....9....3....5....7....9
%e ..4....1....6....2....0....2....8....9....3....5....7....7
%e ..4....1....6....2....0....6....8....9....3....5....7....3
%e ..4....1....6....2....0....2....8....9....3....5....7....7
%Y Row 3 is A008814
%K nonn,tabl
%O 1,3
%A _R. H. Hardin_ Nov 16 2011
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