A191886 Ordered sequence of nonnegative differences c*f-d*g, where f and g are positive Fibonacci numbers (A000045) and {c,d}={2,5}.

0, 1, 2, 3, 4, 5, 6, 8, 9, 11, 13, 14, 15, 16, 17, 19, 21, 23, 24, 27, 28, 30, 32, 34, 36, 37, 38, 39, 43, 45, 49, 53, 55, 58, 59, 60, 61, 63, 70, 73, 79, 85, 89, 95, 97, 99, 100, 101, 102, 103, 105, 113, 118, 128, 138, 144, 153, 154, 157, 160, 163, 164, 165

Offset

1,3

Links

G. C. Greubel, Table of n, a(n) for n = 1..10000

Mathematica

c = 2; d = 5; f[n_] := Fibonacci[n];
g[n_] := c*f[n]; h[n_] := d*f[n];
t[i_, j_] := h[i] + g[j];
u = Table[t[i, j], {i, 1, 20}, {j, 1, 20}];
v = Union[Flatten[u ]]    (* A191883 *)
t1[i_, j_] := If[g[i] - h[j] > 0, g[i] - h[j], 0]
u1 = Table[t1[i, j], {i, 1, 20}, {j, 1, 20}];
v1 = Union[Flatten[u1 ]]  (* A191884: c*f(i)-d*f(j) *)
g1[n_] := d*f[n]; h1[n_] := c*f[n];
t2[i_, j_] := If[g1[i] - h1[j] > 0, g1[i] - h1[j], 0]
u2 = Table[t2[i, j], {i, 1, 20}, {j, 1, 20}];
v2 = Union[Flatten[u2 ]]  (* A191885: d*f(i)-c*f(j) *)
v3 = Union[v1, v2]        (* A191886 *)

Crossrefs

Cf. A191883, A191884, A191885.

Sequence in context: A030749 A049808 A344933 * A184115 A050418 A011869

Adjacent sequences: A191883 A191884 A191885 * A191887 A191888 A191889

Keyword

nonn

Author

Clark Kimberling, Jun 18 2011

Status

approved