A389098 LCM of the psi-amicable pairs: a(n) = lcm(A323329(n), A323330(n)).

206150, 412300, 1844150, 824600, 1030750, 3688300, 1649200, 10402210, 2061500, 22858550, 7376600, 37712150, 9220750, 3298400, 20804420, 4123000, 45717100, 14753200, 5153750, 75424300, 18441500, 6596800, 41608840, 8246000, 91434200, 29506400, 10307500, 602734550, 150848600, 114292750, 36883000

Offset

1,1

Comments

All the terms are psi-abundant (A387893) since all the terms of A323329 are by definition psi-abundant, and any positive multiple of a psi-abundant number is also psi-abundant.

Links

S. I. Dimitrov, Table of n, a(n) for n = 1..1000

Formula

a(n) = A387885(n) / A383943(n).

Example

a(1) = A387885(1) / A383943(1) = 2061500 / 10 = 206150.

Mathematica

psi[n_] := n * Times @@ (1 + 1/FactorInteger[n][[;; , 1]]); psi[1] = 1; t[n_] := psi[n] - n; seq[max_] := Module[{s = {}, n}, Do[n = t[m]; If[n > m && t[n] == m, AppendTo[s, LCM[n, m]]], {m, 1, max}]; s]; seq[100000] (* Amiram Eldar, Sep 23 2025 *)

Crossrefs

Cf. A001615, A323329, A323330, A383943, A387885.

Sequence in context: A234069 A234061 A234060 * A115946 A082176 A178285

Adjacent sequences: A389095 A389096 A389097 * A389099 A389100 A389101

Keyword

nonn,easy

Author

S. I. Dimitrov, Sep 23 2025

Status

approved