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A199843 Number of -4..4 arrays x(0..n-1) of n elements with zero sum and no element more than one greater than the previous.

%I A199843 #7 Jul 22 2025 13:25:06
%S A199843 1,5,18,68,239,845,2958,10349,36111,126121,441161,1546353,5432430,
%T A199843 19130949,67536934,238991556,847646318,3012890719,10730694626,
%U A199843 38289978058,136865206035,489995352710,1756812943841,6307268945198
%N A199843 Number of -4..4 arrays x(0..n-1) of n elements with zero sum and no element more than one greater than the previous.
%C A199843 Column 4 of A199847
%H A199843 R. H. Hardin, <a href="/A199843/b199843.txt">Table of n, a(n) for n = 1..200</a>
%e A199843 Some solutions for n=6
%e A199843 ..2....1....3....3....1....1....3....2....3...-1....3....4....0....2....2....3
%e A199843 ..3....2....2....4...-1....2....2....3....0....0....1....3....0....2....0....4
%e A199843 ..4....2....0...-1....0....2....2...-1....1....1....2....0....1....1....1...-1
%e A199843 .-2...-2....1....0....1....1....0...-1....2....1...-1...-2....2....2....1...-3
%e A199843 .-4...-2...-3...-2....1...-2...-3...-2...-2...-1...-1...-1...-1...-3...-1...-2
%e A199843 .-3...-1...-3...-4...-2...-4...-4...-1...-4....0...-4...-4...-2...-4...-3...-1
%K A199843 nonn
%O A199843 1,2
%A A199843 _R. H. Hardin_ Nov 11 2011