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%I #9 Jun 05 2014 17:04:21
%S 7,10,11,13,14,15,17,18,19,21,23,26,27,28,29,32,35,36,38,41,43,44,47,
%T 51,55,56,58,59,61,67,71,75,76,83,87,90,91,93,95,99,106,108,110,114,
%U 115,122,123,134,139,142,145,147,151,154,160,169,173,175,177,185
%N Ordered sums 3*f+4*g, where f and g are Fibonacci numbers (A000045).
%t c = 3; d = 4; 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 ]] (* A191875 *)
%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 ]] (* A191876: 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 ]] (* A191877: d*f(i)-c*f(j) *)
%t v3 = Union[v1, v2] (* A191878*)
%t Union[3*First[#]+4*Last[#]&/@Tuples[Fibonacci[Range[10]],2]] (* _Harvey P. Dale_, Jun 05 2014 *)
%Y Cf. A191876, A191877, A191878.
%K nonn
%O 1,1
%A _Clark Kimberling_, Jun 18 2011
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