A273803 Numbers that are a product of distinct Fibonacci numbers (A160009) and also a product of distinct Lucas numbers (A274280).

1, 3, 21, 126, 504, 987, 5922, 23688, 2178309, 13069854, 52279416, 10610209857723, 63661259146338, 254645036585352

Offset: 1

Author

Clark Kimberling, Jun 19 2016

Keywords

• nonn
• more

Comments

Is every term greater than 3 divisible by 21?

Examples

			126 = 2*3*21 = 7*18.
		

Crossrefs

Cf. A000204, A000045, A160009, A274280, A274371.

Programs

Mathematica

s = {1}; z = 70; f = Fibonacci[2 + Range[z]]; Do[s = Union[s, Select[s*f[[i]], # <= f[[z]] &]], {i, z}]; s = Prepend[s, 0];  (* A160009 *)
g = LucasL[Range[z]]; t = {1}; Do[t = Union[t, Select[t*g[[i]], # <= g[[z]] &]], {i, z}];
Intersection[s, t]