A259623 - OEIS

A259623

Strictly increasing list of F and F + 1, where F = A000045, the Fibonacci numbers.

1, 2, 3, 4, 5, 6, 8, 9, 13, 14, 21, 22, 34, 35, 55, 56, 89, 90, 144, 145, 233, 234, 377, 378, 610, 611, 987, 988, 1597, 1598, 2584, 2585, 4181, 4182, 6765, 6766, 10946, 10947, 17711, 17712, 28657, 28658, 46368, 46369, 75025, 75026, 121393, 121394, 196418

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

OFFSET

1,2

LINKS

Clark Kimberling, Table of n, a(n) for n = 1..2000

FORMULA

G.f.: -((-1 - 2 x - x^2 + x^4 + 2 x^5 + x^6 + x^7)/((-1 + x) (1 + x) (-1 + x^2 + x^4))).

MATHEMATICA

Union[#, # + 1] &[Fibonacci[Range[50]]]

CROSSREFS

Cf. A000045, A258085.

Sequence in context: A084693 A276765 A121644 * A305734 A002242 A317676

Adjacent sequences: A259620 A259621 A259622 * A259624 A259625 A259626

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling and Peter J. C. Moses, Jul 01 2015

STATUS

approved