A259407 Fibonacci numbers corresponding to the indices mentioned in A214852.

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

Offset: 1

Author

Abhiram R Devesh, Jun 26 2015

Keywords

• nonn
• easy
• base

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

Examples

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

Links

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

Crossrefs

Cf. A000045, A031443, A214852.

Programs

Mathematica

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

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

Formula

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