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Number of length n+1 0..2*5 arrays with the sum of the absolute values of adjacent differences equal to n*5
1

%I #4 Nov 10 2014 07:10:53

%S 12,90,728,6252,55372,508902,4598532,43752328,399919272,3872197278,

%T 35715136808,349291390860,3244120777620,31938382591862,

%U 298193263675024,2949970866347064,27653133418970008,274591500744039956

%N Number of length n+1 0..2*5 arrays with the sum of the absolute values of adjacent differences equal to n*5

%C Column 5 of A249982

%H R. H. Hardin, <a href="/A249979/b249979.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=5

%e ..4....7....3....8...10....8....7....4....7....8....0....4....8....5....7....9

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

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

%e ..9....9....0....8...10....3....1...10....4....2....9....0....0....3....2....1

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 10 2014