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Number of zero-sum -4..4 arrays of n elements with first through fourth differences also in -4..4
1

%I #5 Mar 31 2012 12:36:44

%S 1,5,21,75,111,527,1275,3643,10245,30215,82859,239133,688547,1986411,

%T 5743067,16751055,48750751,142319063,416145857,1218638091,3571823395,

%U 10485601869,30812312143,90634015523,266849118935,786358091871

%N Number of zero-sum -4..4 arrays of n elements with first through fourth differences also in -4..4

%C Column 4 of A201439

%H R. H. Hardin, <a href="/A201435/b201435.txt">Table of n, a(n) for n = 1..162</a>

%e Some solutions for n=10

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

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

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

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

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

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

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Dec 01 2011