A356062 a(n) is the smallest integer that has exactly n Lucas divisors (A000032).

1, 2, 4, 12, 36, 252, 2772, 52668, 1211364, 35129556, 1089016236, 44649665676, 2098534286772, 417608323067628, 88115356167269508, 24760415083002731748, 7948093241643876891108, 4140956578896459860267268

Offset: 1

Author

Bernard Schott, Jul 25 2022

Keywords

• nonn
• more

Comments

The new Lucas numbers that appear at each step are in A356063.

Examples

			36 is divisible by 1, 2, 3, 4, 18, which are all Lucas numbers, and no integer < 36 has 5 divisors that are Lucas numbers, hence a(5) = 36.
		

Crossrefs

Cf. A000032, A304092, A356063.

Similar sequences: A087997 (palindromes), A129655 (Fibonacci), A333456 (Niven).

Extensions

a(10) from Amiram Eldar, Jul 25 2022

a(11)-a(18) from David A. Corneth, Jul 27 2022