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A191842 Ordered sums f+3*g, where f and g are Fibonacci numbers (A000045). 5
4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30, 32, 36, 37, 40, 41, 42, 43, 44, 45, 47, 49, 52, 58, 60, 61, 64, 65, 66, 68, 70, 71, 73, 76, 79, 84, 92, 94, 95, 97, 98, 103, 104, 105, 107, 110, 113, 115, 118, 123, 128 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..64.

MATHEMATICA

c = 1; d = 3; 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 ]]    (* A191842 *)

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 ]]  (* A191843: f(i)-3*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 ]]  (* A191844: 3*f(i)-f(j) *)

v3 = Union[v1, v2]        (* A191845 *)

CROSSREFS

Cf. A191843, A191844, A191845.

Sequence in context: A039230 A111222 A037357 * A299544 A039174 A016069

Adjacent sequences:  A191839 A191840 A191841 * A191843 A191844 A191845

KEYWORD

nonn

AUTHOR

Clark Kimberling, Jun 17 2011

STATUS

approved

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Last modified October 1 11:02 EDT 2022. Contains 357147 sequences. (Running on oeis4.)