A353988 Numbers k such that Fibonacci(k) is a binary Niven number (A049445).

1, 2, 3, 6, 8, 9, 10, 12, 18, 24, 30, 36, 48, 56, 60, 100, 120, 144, 150, 168, 240, 270, 288, 300, 324, 330, 336, 360, 444, 540, 594, 600, 624, 720, 750, 840, 864, 896, 900, 936, 1080, 1152, 1200, 1210, 1360, 1404, 1632, 1720, 1921, 2028, 2400, 2520, 2552, 2864

Offset: 1

Author

Amiram Eldar, May 13 2022

Keywords

• nonn
• base

Comments

Numbers k such that A011373(k) | A000045(k).

Examples

			1 is a term since A000045(1) = A011373(1) = 1 and 1 | 1.
10 is a term since A000045(10) = 55, A011373(1) = 5 and 5 | 55.
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..3000

Crossrefs

Cf. A000045, A000120, A011373, A049445, A117774, A337448 (decimal analog).

Programs

Mathematica

Select[Range[3000], Divisible[(f = Fibonacci[#]), DigitCount[f, 2, 1]] &]

PARI

isok(k) = my(f=fibonacci(k)); ! (f % hammingweight(f)); \\ Michel Marcus, May 13 2022