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A191838 Ordered sums f+2*g, where f and g are positive Fibonacci numbers (A000045). 5
3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 18, 19, 21, 23, 24, 25, 27, 28, 29, 31, 34, 36, 37, 38, 39, 40, 43, 44, 45, 47, 50, 55, 57, 59, 60, 61, 63, 65, 69, 70, 71, 73, 76, 81, 89, 91, 93, 95, 97, 99, 102, 105, 111, 112, 113, 115, 118, 123, 131, 144 (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 = 2; 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 ]]    (* A191838 *)

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 ]]  (* A191839: f(i)-2*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 ]]  (* A191840: 2*f(i)-f(j) *)

v3 = Union[v1, v2]        (* A191841 *)

With[{nn=20}, Take[Union[#[[1]]+2#[[2]]&/@Tuples[Fibonacci[ Range[20]], 2]], 4nn]] (* Harvey P. Dale, Jun 08 2015 *)

CROSSREFS

Cf. A191839, A191840, A191841.

Sequence in context: A192452 A132147 A118955 * A333214 A108473 A298113

Adjacent sequences:  A191835 A191836 A191837 * A191839 A191840 A191841

KEYWORD

nonn

AUTHOR

Clark Kimberling, Jun 17 2011

STATUS

approved

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Last modified November 29 19:26 EST 2020. Contains 338769 sequences. (Running on oeis4.)