%I #30 Aug 31 2022 13:31:00

%S 1,2,4,12,36,252,2772,52668,1211364,35129556,1089016236,44649665676,

%T 2098534286772,417608323067628,88115356167269508,24760415083002731748,

%U 7948093241643876891108,4140956578896459860267268

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

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

%e 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.

%Y Cf. A000032, A304092, A356063.

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

%K nonn,more

%O 1,2

%A _Bernard Schott_, Jul 25 2022

%E a(10) from _Amiram Eldar_, Jul 25 2022

%E a(11)-a(18) from _David A. Corneth_, Jul 27 2022