cp's OEIS Frontend

A199850 Number of -n..n arrays x(0..5) of 6 elements with zero sum and no element more than one greater than the previous.

%I A199850 #10 May 16 2018 16:34:43
%S A199850 63,192,428,845,1532,2600,4188,6465,9634,13932,19636,27065,36582,
%T A199850 48598,63576,82029,104530,131710,164262,202945,248586,302082,364406,
%U A199850 436607,519814,615238,724178,848019,988240,1146414,1324210,1523399,1745856
%N A199850 Number of -n..n arrays x(0..5) of 6 elements with zero sum and no element more than one greater than the previous.
%C A199850 Row 6 of A199847.
%H A199850 R. H. Hardin, <a href="/A199850/b199850.txt">Table of n, a(n) for n = 1..200</a>
%F A199850 Empirical: a(n) = 3*a(n-1) -2*a(n-2) -a(n-3) +2*a(n-5) -a(n-6) -a(n-7) +2*a(n-8) -a(n-10) -2*a(n-11) +3*a(n-12) -a(n-13) for n>14.
%F A199850 Empirical g.f.: x*(63 + 3*x - 22*x^2 + 8*x^3 + 45*x^4 - 4*x^5 - 24*x^6 + 32*x^7 + 19*x^8 - 27*x^9 - 43*x^10 + 39*x^11 + 8*x^12 - 9*x^13) / ((1 - x)^6*(1 + x)*(1 + x + x^2)*(1 + x + x^2 + x^3 + x^4)). - _Colin Barker_, May 16 2018
%e A199850 Some solutions for n=6:
%e A199850 ..5....6....5....5....2....1....3....2....3....1....2....4....4....4....2....5
%e A199850 ..4...-2....6....0....3....2....1....3....3...-1....0....2....4....3....3....0
%e A199850 ..2...-1....1...-1....3....3...-2....2....3...-1....1....0....2....2....0....1
%e A199850 .-4....0...-1....0....1....0...-1....0...-2....0....2....0...-4...-2...-2...-1
%e A199850 .-3....0...-6...-2...-3...-3....0...-4...-2....1....0...-1...-3...-2...-1...-1
%e A199850 .-4...-3...-5...-2...-6...-3...-1...-3...-5....0...-5...-5...-3...-5...-2...-4
%Y A199850 Cf. A199847.
%K A199850 nonn
%O A199850 1,1
%A A199850 _R. H. Hardin_, Nov 11 2011