A356062 - OEIS

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

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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