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A191884 Ordered sequence of nonnegative differences f-5*g, where f and g are positive Fibonacci numbers (A000045). 4

%I #10 Oct 31 2017 12:39:01

%S 0,1,2,3,5,6,8,11,13,16,17,21,27,28,32,34,37,43,45,53,55,58,63,70,73,

%T 85,89,95,100,105,113,118,138,144,153,163,168,173,183,191,223,233,248,

%U 263,273,278,283,296,309,361,377,401,426,441,451,456,461,479,500

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

%H G. C. Greubel, <a href="/A191884/b191884.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, A191885, A191886.

%K nonn

%O 1,3

%A _Clark Kimberling_, Jun 18 2011

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Last modified July 11 21:50 EDT 2024. Contains 374234 sequences. (Running on oeis4.)