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

%I #4 Nov 10 2014 07:08:17

%S 6,24,88,384,1606,7138,31380,141272,635686,2890884,13175784,60384934,

%T 277442652,1279055676,5909701748,27368939688,126981852654,

%U 590182327132,2747109920736,12804571294224,59756343262648,279183944932752

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

%C Column 2 of A249982

%H R. H. Hardin, <a href="/A249976/b249976.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=6

%e ..0....2....3....1....0....2....3....1....2....3....0....1....4....2....0....0

%e ..1....0....2....3....4....4....2....2....3....1....3....2....3....0....0....4

%e ..4....4....2....1....0....2....4....3....1....3....3....4....1....2....4....3

%e ..4....1....1....1....1....3....0....0....3....1....1....3....4....4....1....2

%e ..1....1....4....4....2....0....3....1....0....0....4....0....3....0....1....4

%e ..4....2....0....1....3....2....2....4....0....3....4....4....0....0....4....0

%e ..2....0....3....3....2....4....1....1....4....1....0....3....2....2....2....0

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 10 2014