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

1,2

Comments

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

Links

Table of n, a(n) for n=1..18.

Example

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).

Sequence in context: A003701 A255432 A275539 * A193049 A114500 A148212

Adjacent sequences: A356059 A356060 A356061 * A356063 A356064 A356065

Keyword

nonn,more

Author

Bernard Schott, Jul 25 2022

Extensions

a(10) from Amiram Eldar, Jul 25 2022

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

Status

approved