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Number of 0..n arrays x(0..9) of 10 elements with zero 6th differences
1

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

%S 2,3,4,5,6,7,18,43,78,131,224,363,526,833,1236,1803,2496,3415,4528,

%T 5877,7916,10451,13488,17327,21768,26935,33012,41353,50824,62305,

%U 75252,90125,107056,126205,150204,178441,209636,244833,284382,328443,376446,436733

%N Number of 0..n arrays x(0..9) of 10 elements with zero 6th differences

%C Row 7 of A200329

%H R. H. Hardin, <a href="/A200333/b200333.txt">Table of n, a(n) for n = 1..56</a>

%e Some solutions for n=9

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

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

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

%e ..5....7....2....2....3....9....5....7....4....0....9....6....4....3....0....2

%e ..2....4....0....3....3....8....4....6....5....1....8....8....1....3....0....2

%e ..1....1....1....4....2....6....4....5....5....3....7....7....0....3....0....1

%e ..3....0....4....4....1....3....4....5....5....6....7....4....2....3....0....0

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

%e ..9....6....8....3....2....0....1....6....8....9....8....0....8....3....0....1

%e ..1....8....6....9....2....9....0....0....9....0....2....2....0....3....0....1

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 16 2011