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Number of arrays of n+2 integers in -4..4 with sum zero and adjacent elements differing in absolute value
1

%I #5 Mar 31 2012 12:36:53

%S 36,268,1562,9884,66208,447528,3020170,20430512,139027620,950710524,

%T 6520317018,44823140280,308853569150,2132736199028,14754220477302,

%U 102231808797944,709381651755672,4928801328948764,34285920139143690

%N Number of arrays of n+2 integers in -4..4 with sum zero and adjacent elements differing in absolute value

%C Column 4 of A202962

%H R. H. Hardin, <a href="/A202958/b202958.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=5

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 26 2011