A259407 Fibonacci numbers corresponding to the indices mentioned in A214852.

2, 14930352, 267914296, 956722026041, 781774079430987230203437, 178890334785183168257455287891792, 57602132235424755886206198685365216, 55835073295300465536628086585786672357234389, 15156039800290547036315704478931467953361427680642

Offset

1,1

Comments

The data correspond to the 3rd, 36th, 42nd, 59th, 116th, 156th, 168th, 211th, 237th Fibonacci numbers.

Intersection of A000045 and A031443. - Michel Marcus, Jul 31 2015

Links

Paolo Xausa, Table of n, a(n) for n = 1..70

Formula

a(n) = A000045(A214852(n)).

Example

a(2) = F(36) = 14930352 = 111000111101000110110000_2 has an equal number of 0's and 1's.

Mathematica

Select[Fibonacci[Range[300]], Equal @@ DigitCount[#, 2] &] (* Paolo Xausa, Oct 31 2024 *)

Prog

(Python)
f1=1; f2=1
while f1>0:
    f3=f1+f2
    c = bin(f3).split('b')[1]
    if c.count("1")==c.count("0"):
        print(f3)
    f1=f2; f2=f3

Crossrefs

Cf. A000045, A031443, A214852.

Sequence in context: A121390 A170997 A326615 * A157992 A322145 A301810

Adjacent sequences: A259404 A259405 A259406 * A259408 A259409 A259410

Keyword

nonn,easy,base

Author

Abhiram R Devesh, Jun 26 2015

Status

approved