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A199851 Number of -n..n arrays x(0..6) of 7 elements with zero sum and no element more than one greater than the previous.

%I A199851 #7 Jul 22 2025 13:25:36
%S A199851 153,575,1393,2958,5754,10426,17879,29268,46126,70322,104253,150764,
%T A199851 213380,296204,404213,543086,719592,941366,1217343,1557506,1973400,
%U A199851 2477778,3085247,3811830,4675676,5696580,6896795,8300422,9934376
%N A199851 Number of -n..n arrays x(0..6) of 7 elements with zero sum and no element more than one greater than the previous.
%C A199851 Row 7 of A199847
%H A199851 R. H. Hardin, <a href="/A199851/b199851.txt">Table of n, a(n) for n = 1..200</a>
%F A199851 Empirical: a(n) = 2*a(n-1) -a(n-3) -a(n-5) +a(n-6) -2*a(n-7) +2*a(n-8) +a(n-9) -a(n-13) -2*a(n-14) +2*a(n-15) -a(n-16) +a(n-17) +a(n-19) -2*a(n-21) +a(n-22) for n>24
%e A199851 Some solutions for n=6
%e A199851 ..5....5....4....4....2....1....5....4....3....0....4....2....5....6....5....3
%e A199851 ..4....6....3...-1....3....1....4....5....1....0....4....3....4....5....5....1
%e A199851 ..0....2....3....0....1....2....4....3...-1....1...-2....4....4....3....4....1
%e A199851 ..0....2...-1....0...-1....2....2...-3....0....2...-1....0....2....3...-5....1
%e A199851 .-2...-5....0....0....0...-2...-3...-2...-1....1....0....1...-5...-5...-4....0
%e A199851 .-3...-5...-5....0...-3...-1...-6...-1....0....0...-2...-5...-5...-6...-3...-3
%e A199851 .-4...-5...-4...-3...-2...-3...-6...-6...-2...-4...-3...-5...-5...-6...-2...-3
%K A199851 nonn
%O A199851 1,1
%A A199851 _R. H. Hardin_ Nov 11 2011