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Number of zero-sum -2..2 arrays of n elements with first and second differences also in -2..2
1

%I #8 Dec 16 2017 15:13:42

%S 1,3,5,19,45,129,345,1031,2969,8803,25791,76285,225047,667807,1984599,

%T 5918017,17672419,52880691,158447783,475463579,1428412619,4296219727,

%U 12934516047,38978330199,117561661847,354857238103,1071910795169

%N Number of zero-sum -2..2 arrays of n elements with first and second differences also in -2..2

%C Column 2 of A201873

%H R. H. Hardin, <a href="/A201867/b201867.txt">Table of n, a(n) for n = 1..210</a>

%H Wolfdieter Lang, <a href="https://arxiv.org/abs/1708.01421">On Generating functions of Diagonals Sequences of Sheffer and Riordan Number Triangles</a>, arXiv:1708.01421 [math.NT], August 2017.

%e Some solutions for n=10

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

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

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

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

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

%e .-1...-1....0....0....0....0....0....0...-1....1....0....0...-1....0....1....0

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Dec 06 2011