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Number of 0..n arrays x(0..11) of 12 elements with zero 6th differences
1

%I #5 Mar 31 2012 12:36:39

%S 2,3,4,5,6,7,8,13,18,23,30,39,48,63,82,109,142,187,236,295,380,527,

%T 682,859,1086,1353,1662,2055,2488,3017,3616,4299,5180,6147,7290,8677,

%U 10178,11831,13712,15807,18058,20807,23788,27387,31390,35773,40496,45739,51654

%N Number of 0..n arrays x(0..11) of 12 elements with zero 6th differences

%C Row 7 of A200370

%H R. H. Hardin, <a href="/A200374/b200374.txt">Table of n, a(n) for n = 1..72</a>

%e Some solutions for n=10

%e ..7....3....8....1....2....9....6....2....9....9...10....5...10....0....0....8

%e ..7....3....8....3....4....9....6...10....7....1....8....5....2....8....2....0

%e ..7....3....8....7....8....9....6....8....3....3....4....5....4....6....6....2

%e ..7....3....8....9...10....9....6....4....1....7....2....5....8....2....8....6

%e ..7....3....8....8....9....9....6....2....2....9....3....5...10....0....7....8

%e ..7....3....8....5....6....9....6....3....5....8....6....5....9....1....4....7

%e ..7....3....8....2....3....9....6....6....8....5....9....5....6....4....1....4

%e ..7....3....8....1....2....9....6....9....9....2...10....5....3....7....0....1

%e ..7....3....8....3....4....9....6...10....7....1....8....5....2....8....2....0

%e ..7....3....8....7....8....9....6....8....3....3....4....5....4....6....6....2

%e ..7....3....8....9...10....9....6....4....1....7....2....5....8....2....8....6

%e ..7....3....8....1....2....9....6....2....9....9...10....5...10....0....0....8

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 16 2011