A191848 -id:A191848

Search: a191848 -id:a191848

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A191846

Ordered sums 2*f+3*g, where f and g are Fibonacci numbers (A000045).

+0
4

5, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 19, 21, 22, 25, 26, 28, 29, 30, 31, 32, 34, 35, 40, 41, 43, 45, 48, 49, 50, 51, 55, 57, 65, 66, 67, 69, 71, 73, 74, 77, 79, 81, 83, 89, 92, 104, 105, 106, 107, 108, 112, 113, 116, 118, 119, 125, 128, 131, 134, 144, 149

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Table of n, a(n) for n=1..62.

MATHEMATICA

c = 2; 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 ]] (* A191846 *)

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 ]] (* A191847: 2f(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 ]] (* A191848: 3*f(i)-2(f(j) *)

v3 = Union[v1, v2] (* A191849 *)

CROSSREFS

Cf. A191846, A191847, A191848.

KEYWORD

nonn

AUTHOR

Clark Kimberling, Jun 17 2011

STATUS

approved

A191849

Ordered nonnegative differences c*f-d*g, where f and g are positive Fibonacci numbers (A000045), and {c,d}={2,3}.

+0
3

0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 14, 17, 18, 20, 21, 22, 23, 27, 29, 33, 34, 35, 36, 37, 39, 44, 47, 53, 55, 57, 59, 60, 61, 62, 65, 71, 76, 86, 89, 92, 95, 96, 97, 98, 100, 101, 104, 107, 115, 123, 139, 144, 149, 154, 155, 157, 159, 161, 163, 169, 172

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,3

LINKS

Table of n, a(n) for n=1..63.

MATHEMATICA

(See A191846.)

CROSSREFS

Cf. A191846, A191847, A191848.

KEYWORD

nonn

AUTHOR

Clark Kimberling, Jun 17 2011

STATUS

approved

A191847

Ordered nonnegative differences 2*f-3*g, where f and g are positive Fibonacci numbers (A000045).

+0
3

0, 1, 2, 3, 4, 5, 7, 8, 10, 11, 13, 17, 18, 20, 21, 23, 27, 29, 33, 34, 36, 39, 44, 47, 53, 55, 59, 62, 65, 71, 76, 86, 89, 95, 101, 104, 107, 115, 123, 139, 144, 154, 163, 169, 172, 175, 186, 199, 225, 233, 249, 264, 273, 279, 282, 285, 301, 322, 364, 377

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,3

LINKS

Table of n, a(n) for n=1..60.

MATHEMATICA

(See A191846.)

CROSSREFS

Cf. A191846, A191848, A191849.

KEYWORD

nonn

AUTHOR

Clark Kimberling, Jun 17 2011

STATUS

approved

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