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Number of 0..n arrays of length 5 with each element differing from at least one neighbor by 1 or less, starting with 0
1

%I #4 Jan 22 2013 06:32:14

%S 16,40,68,100,133,166,199,232,265,298,331,364,397,430,463,496,529,562,

%T 595,628,661,694,727,760,793,826,859,892,925,958,991,1024,1057,1090,

%U 1123,1156,1189,1222,1255,1288,1321,1354,1387,1420,1453,1486,1519,1552,1585

%N Number of 0..n arrays of length 5 with each element differing from at least one neighbor by 1 or less, starting with 0

%C Row 5 of A221683

%H R. H. Hardin, <a href="/A221684/b221684.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 33*n - 32 for n>3

%e Some solutions for n=6

%e ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0

%e ..1....1....1....0....0....1....1....1....1....1....1....1....1....0....0....0

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 22 2013