A191887 Ordered sums 3*f+5*g, where f and g are Fibonacci numbers (A000045).

8, 11, 13, 14, 16, 18, 19, 20, 21, 24, 25, 28, 29, 30, 31, 34, 39, 40, 43, 44, 46, 49, 54, 55, 64, 68, 71, 73, 74, 78, 79, 80, 88, 89, 103, 104, 107, 108, 111, 112, 114, 117, 120, 127, 128, 129, 142, 144, 167, 168, 170, 173, 175, 176, 179, 180, 185, 190, 194

Offset

1,1

Links

Table of n, a(n) for n=1..59.

Mathematica

c = 3; 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 ]]    (* A191887 *)
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 ]]  (* A191888: 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 ]]  (* A191889: d*f(i)-c*f(j) *)
v3 = Union[v1, v2]        (* A191890*)

Crossrefs

Cf. A191888, A191889, A191890, A191883, A191876.

Sequence in context: A123939 A134787 A249104 * A122195 A064153 A363374

Adjacent sequences: A191884 A191885 A191886 * A191888 A191889 A191890

Keyword

nonn

Author

Clark Kimberling, Jun 18 2011

Status

approved