A230771 Union of Fibonacci numbers and powers of 2.

1, 2, 3, 4, 5, 8, 13, 16, 21, 32, 34, 55, 64, 89, 128, 144, 233, 256, 377, 512, 610, 987, 1024, 1597, 2048, 2584, 4096, 4181, 6765, 8192, 10946, 16384, 17711, 28657, 32768, 46368, 65536, 75025, 121393, 131072, 196418, 262144, 317811, 514229, 524288, 832040, 1048576

Offset

1,2

Comments

It is known that 1, 2, and 8 are the only numbers in the intersection.

Links

Table of n, a(n) for n=1..47.

Mathematica

Module[{nn=40, p2}, p2=Floor[Log2[Fibonacci[nn]]]; Join[Fibonacci[Range[nn]], 2^Range[0, p2]]//Union] (* Harvey P. Dale, Aug 31 2024 *)

Crossrefs

Cf. A000045, A000079.

Sequence in context: A347333 A050024 A182153 * A065490 A214452 A282500

Adjacent sequences: A230768 A230769 A230770 * A230772 A230773 A230774

Keyword

nonn,easy

Author

Franklin T. Adams-Watters, Oct 30 2013

Status

approved