A191885 - OEIS

%I #10 Oct 31 2017 12:39:09

%S 0,1,3,4,5,6,8,9,11,13,14,15,19,21,23,24,30,34,36,37,38,39,49,55,59,

%T 60,61,63,79,89,95,97,99,101,102,103,128,144,154,157,160,164,165,166,

%U 168,207,233,249,254,259,265,267,269,271,273,335,377,403,411,419

%N Ordered sequence of nonnegative differences 5*f-g, where f and g are positive Fibonacci numbers (A000045).

%H G. C. Greubel, <a href="/A191885/b191885.txt">Table of n, a(n) for n = 1..5000</a>

%t c = 2; d = 5; f[n_] := Fibonacci[n];

%t g[n_] := c*f[n]; h[n_] := d*f[n];

%t t[i_, j_] := h[i] + g[j];

%t u = Table[t[i, j], {i, 1, 20}, {j, 1, 20}];

%t v = Union[Flatten[u ]]    (* A191883 *)

%t t1[i_, j_] := If[g[i] - h[j] > 0, g[i] - h[j], 0]

%t u1 = Table[t1[i, j], {i, 1, 20}, {j, 1, 20}];

%t v1 = Union[Flatten[u1 ]]  (* A191884: c*f(i)-d*f(j) *)

%t g1[n_] := d*f[n]; h1[n_] := c*f[n];

%t t2[i_, j_] := If[g1[i] - h1[j] > 0, g1[i] - h1[j], 0]

%t u2 = Table[t2[i, j], {i, 1, 20}, {j, 1, 20}];

%t v2 = Union[Flatten[u2 ]]  (* A191885: d*f(i)-c*f(j) *)

%t v3 = Union[v1, v2]        (* A191886 *)

%Y Cf. A191883, A191884, A191886.

%K nonn

%O 1,3

%A _Clark Kimberling_, Jun 18 2011