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A199846 Number of -7..7 arrays x(0..n-1) of n elements with zero sum and no element more than one greater than the previous.

%I A199846 #7 Jul 22 2025 13:25:22
%S A199846 1,8,41,206,944,4188,17879,74424,303400,1218440,4833416,18992142,
%T A199846 74057460,287035502,1107086841,4253339267,16289667330,62230152461,
%U A199846 237255014892,903101912666,3433312226666,13039708953325,49488269035164
%N A199846 Number of -7..7 arrays x(0..n-1) of n elements with zero sum and no element more than one greater than the previous.
%C A199846 Column 7 of A199847
%H A199846 R. H. Hardin, <a href="/A199846/b199846.txt">Table of n, a(n) for n = 1..146</a>
%e A199846 Some solutions for n=6
%e A199846 ..4....4....6....7....6....4....3....4....4....6....6...-1....4....6....4....6
%e A199846 ..2....4....2...-2....4....4....3....4....5....2....7....0....4....5....5....6
%e A199846 ..1....0....2...-2....0...-2....2....1....4....2...-1....1....4....2....6...-1
%e A199846 .-1...-1...-3...-2...-1...-1...-1...-3...-1...-4...-1....2....1...-5...-4...-2
%e A199846 ..0...-4...-2...-1...-4....0...-1...-2...-5...-3...-5....0...-7...-4...-6...-4
%e A199846 .-6...-3...-5....0...-5...-5...-6...-4...-7...-3...-6...-2...-6...-4...-5...-5
%K A199846 nonn
%O A199846 1,2
%A A199846 _R. H. Hardin_ Nov 11 2011