OFFSET
0,3
COMMENTS
For a guide to related sequences, see A211795.
LINKS
Index entries for linear recurrences with constant coefficients, signature (2, 1, -4, 1, 2, -1).
FORMULA
a(n)=2*a(n-1)+a(n-2)-4*a(n-3)+a(n-4)+2*a(n-5)-a(n-6).
G.f.: (x + 6*x^2 + 16*x^3 + 10*x^4 + 3*x^5)/(1 - 2*x - x^2 + 4*x^3 - x^4 - 2*x^5 + x^6)
MATHEMATICA
t = Compile[{{n, _Integer}}, Module[{s = 0},
(Do[If[Abs[x - y] == Abs[y - z], s = s + 1],
{w, 1, #}, {x, 1, #}, {y, 1, #}, {z, 1, #}] &[n]; s)]];
Map[t[#] &, Range[0, 50]] (* A212679 *)
LinearRecurrence[{2, 1, -4, 1, 2, -1}, {0, 1, 8, 33, 80, 165}, 50]
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, May 23 2012
STATUS
approved