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A191887 Ordered sums 3*f+5*g, where f and g are Fibonacci numbers (A000045). 5
8, 11, 13, 14, 16, 18, 19, 20, 21, 24, 25, 28, 29, 30, 31, 34, 39, 40, 43, 44, 46, 49, 54, 55, 64, 68, 71, 73, 74, 78, 79, 80, 88, 89, 103, 104, 107, 108, 111, 112, 114, 117, 120, 127, 128, 129, 142, 144, 167, 168, 170, 173, 175, 176, 179, 180, 185, 190, 194 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
MATHEMATICA
c = 3; 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 ]] (* A191887 *)
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 ]] (* A191888: 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 ]] (* A191889: d*f(i)-c*f(j) *)
v3 = Union[v1, v2] (* A191890*)
CROSSREFS
Sequence in context: A123939 A134787 A249104 * A122195 A064153 A363374
KEYWORD
nonn
AUTHOR
Clark Kimberling, Jun 18 2011
STATUS
approved

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Last modified May 23 18:34 EDT 2024. Contains 372765 sequences. (Running on oeis4.)