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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

Table of n, a(n) for n=1..59.

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

Cf. A191888, A191889, A191890, A191883, A191876.

Sequence in context: A123939 A134787 A249104 * A122195 A064153 A337491

Adjacent sequences:  A191884 A191885 A191886 * A191888 A191889 A191890

KEYWORD

nonn

AUTHOR

Clark Kimberling, Jun 18 2011

STATUS

approved

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Last modified June 23 21:09 EDT 2021. Contains 345402 sequences. (Running on oeis4.)