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A191883 Ordered sums 2*f+5*g, where f and g are Fibonacci numbers (A000045). 6

%I #11 Oct 31 2017 12:38:53

%S 7,9,11,12,14,15,16,17,19,20,21,25,26,27,29,31,35,36,41,42,44,46,47,

%T 50,51,52,56,57,66,67,69,71,73,75,78,81,82,83,91,93,107,108,109,111,

%U 115,120,121,125,131,133,135,147,150,172,173,174,175,176,180,183

%N Ordered sums 2*f+5*g, where f and g are Fibonacci numbers (A000045).

%H G. C. Greubel, <a href="/A191883/b191883.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. A191884, A191885, A191886, A191879.

%K nonn

%O 1,1

%A _Clark Kimberling_, Jun 18 2011

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Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)