A259623 - OEIS

%I #7 Jul 15 2015 09:25:24

%S 1,2,3,4,5,6,8,9,13,14,21,22,34,35,55,56,89,90,144,145,233,234,377,

%T 378,610,611,987,988,1597,1598,2584,2585,4181,4182,6765,6766,10946,

%U 10947,17711,17712,28657,28658,46368,46369,75025,75026,121393,121394,196418

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

%H Clark Kimberling, <a href="/A259623/b259623.txt">Table of n, a(n) for n = 1..2000</a>

%F 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))).

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

%Y Cf. A000045, A258085.

%K nonn,easy

%O 1,2

%A _Clark Kimberling_ and _Peter J. C. Moses_, Jul 01 2015