cp's OEIS Frontend

A201040 Number of -6..6 arrays of n elements with adjacent element differences also in -6..6.

%I A201040 #9 May 21 2018 15:18:50
%S A201040 13,127,1287,13021,131781,1333683,13497523,136601483,1382473365,
%T A201040 13991301963,141598771951,1433048351749,14503145402825,
%U A201040 146778876175813,1485473522677393,15033713597401013,152148484020986879
%N A201040 Number of -6..6 arrays of n elements with adjacent element differences also in -6..6.
%C A201040 Column 6 of A201042.
%H A201040 R. H. Hardin, <a href="/A201040/b201040.txt">Table of n, a(n) for n = 1..210</a>
%F A201040 Empirical: a(n) = 10*a(n-1) +3*a(n-2) -18*a(n-3) -a(n-4) +8*a(n-5) -a(n-7).
%F A201040 Empirical g.f.: x*(13 - 3*x - 22*x^2 + 4*x^3 + 9*x^4 - x^5 - x^6) / ((1 - x)*(1 - 9*x - 12*x^2 + 6*x^3 + 7*x^4 - x^5 - x^6)). - _Colin Barker_, May 21 2018
%e A201040 Some solutions for n=4:
%e A201040 ..6....3...-1...-3....3...-3....0...-6...-4...-1...-4...-2....2...-1...-5...-3
%e A201040 ..1...-2....2....2....2...-5...-2....0...-1...-2...-2....1...-2....2...-2...-1
%e A201040 .-3....0....0...-4...-4....1....2...-5...-6...-5....0....1...-4....2....0...-3
%e A201040 .-6....0....2...-5...-3...-3....3...-1...-3...-4...-3...-1...-1...-3....0...-4
%Y A201040 Cf. A201042.
%K A201040 nonn
%O A201040 1,1
%A A201040 _R. H. Hardin_, Nov 26 2011