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A191879
Ordered sums f+5*g, where f and g are positive Fibonacci numbers (A000045).
5
6, 7, 8, 10, 11, 12, 13, 15, 16, 17, 18, 20, 23, 26, 27, 28, 30, 31, 33, 36, 38, 39, 41, 42, 43, 44, 45, 46, 48, 49, 53, 59, 60, 61, 65, 66, 67, 68, 70, 73, 74, 78, 80, 86, 94, 95, 99, 104, 106, 107, 108, 110, 113, 114, 118, 120, 126, 129, 139, 149, 154, 159
OFFSET
1,1
LINKS
MATHEMATICA
c = 1; 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 ]] (* A191879 *)
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 ]] (* A191880: 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 ]] (* A191881: d*f(i)-c*f(j) *)
v3 = Union[v1, v2] (* A191882*)
CROSSREFS
KEYWORD
nonn
AUTHOR
Clark Kimberling, Jun 18 2011
STATUS
approved