A272318 Integer values of Lucas number A000032(n)/n.

1, 3, 321, 3572225067, 44308057022098435739157981016569

Offset: 1

Author

Peter M. Chema, Apr 25 2016

Keywords

• nonn

Comments

The digital root of this sequence appears to be alternately 3 and 6, aside from the initial term of "1".

A subsequence of A181885. For instance, a(2)=A181885(6), a(3)=A181885(18), a(4)=A181885(54); a(5)=A181885(162); and, a(6)=A181885(486). Also 6, 18, 54, 162 and 486 are consecutive terms of the Pinot sequence A008776. Is this a coincidence?

Links

• Andrew Howroyd, Table of n, a(n) for n = 1..9

Crossrefs

Cf. A000032, A008776, A016089, A167745, A181885, A167745 and A016089.

Programs

Mathematica

LucasL[#]/# & /@ Range@ 1200 /. _Rational -> Nothing (* Version 10.2, or *)
Select[Array[LucasL[#]/# &, {1200}], IntegerQ] (* Michael De Vlieger, Apr 25 2016 *)

Formula

a(n) = A000032(A016089(n))/n. - Michel Marcus, Apr 25 2016