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

%I #9 Nov 17 2022 19:19:19

%S 1,5,21,75,239,883,3285,12619,48079,185533,718529,2793599,10889311,

%T 42597829,167140877,657518773,2592183923,10238899137,40508826935,

%U 160499036493,636728024223,2528978914493,10055447397817,40020622051941

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

%C Column 4 of A202511.

%H R. H. Hardin, <a href="/A202507/b202507.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=7

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

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

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

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

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

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

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

%Y Cf. A202511.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 20 2011