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%I #5 Mar 31 2012 12:36:40
%S 2,3,3,4,6,4,5,10,11,5,6,15,23,19,6,7,21,42,51,32,7,8,28,69,113,110,
%T 53,8,9,36,106,219,297,233,87,9,10,45,154,388,679,767,488,142,10,11,
%U 55,215,638,1387,2070,1957,1013,231,11,12,66,290,995,2583,4874,6235,4947,2088
%N T(n,k)=Number of 0..k arrays x(0..n-1) of n elements with nondecreasing average value
%C Table starts
%C ..2...3....4.....5......6......7.......8.......9.......10.......11........12
%C ..3...6...10....15.....21.....28......36......45.......55.......66........78
%C ..4..11...23....42.....69....106.....154.....215......290......381.......489
%C ..5..19...51...113....219....388.....638.....995.....1483.....2133......2975
%C ..6..32..110...297....679...1387....2583....4500.....7410....11669.....17687
%C ..7..53..233...767...2070...4874...10283...20012....36412....62780....103412
%C ..8..87..488..1957...6235..16919...40437...87914...176767...333702....597390
%C ..9.142.1013..4947..18608..58198..157577..382720...850389..1757813...3420112
%C .10.231.2088.12419..55148.198807..609826.1654657..4062796..9195619..19445435
%C .11.375.4278.31006.162532.675372.2347039.7114665.19304047.47842607.109955586
%H R. H. Hardin, <a href="/A200763/b200763.txt">Table of n, a(n) for n = 1..9999</a>
%e Some solutions for n=8 k=8
%e ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%e ..1....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%e ..2....1....1....4....3....3....0....3....2....3....2....5....3....1....0....2
%e ..2....7....6....2....1....2....3....2....1....4....7....3....4....5....3....6
%e ..2....3....4....7....7....7....5....6....1....6....3....3....5....2....8....4
%e ..4....7....6....6....4....4....4....5....1....6....4....3....3....7....3....4
%e ..7....4....8....4....5....6....2....4....6....7....6....8....8....7....7....6
%e ..5....5....5....6....6....5....4....7....6....4....4....4....7....4....6....8
%Y Column 2 is A001911(n+1)
%Y Column 7 is A200707
%Y Row 2 is A000217(n+1)
%Y Row 3 is A019298(n+1)
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Nov 22 2011
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