%I #7 Jun 26 2022 05:15:56
%S 19,213,1101,3785,10205,23425,47713,89007,154971,255311,401933,609517,
%T 895003,1278825,1784361,2438483,3271643,4318837,5618137,7213161,
%U 9151545,11485961,14273951,17579509,21470299,26021835,31314591,37435583,44478011
%N Number of -n..n arrays of 5 elements with first through fourth differences also in -n..n.
%C Row 5 of A202664.
%H R. H. Hardin, <a href="/A202665/b202665.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 2*a(n-3) +2*a(n-4) +a(n-5) -4*a(n-7) -3*a(n-8) -4*a(n-9) +2*a(n-11) +5*a(n-12) +5*a(n-13) +2*a(n-14) -4*a(n-16) -3*a(n-17) -4*a(n-18) +a(n-20) +2*a(n-21) +2*a(n-22) -a(n-25).
%e Some solutions for n=8
%e .-1....8...-4...-2....7....6...-4...-8...-5....2....2....1....8...-3....8....5
%e .-6....4...-5....1....6....6...-3...-5....0...-1....5....0....8...-1....6....1
%e .-6....3...-3...-2....7....7...-2...-3...-1....1....8...-1....7...-2....4....0
%e .-6....4...-1...-4....7....8...-1....2...-1....2....5...-5....6...-6....3....0
%e .-8....0....5...-4....2....5....3....6....6....0...-3...-7....6...-6....3...-1
%Y Cf. A202664.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 22 2011