infinitary harmonic numbers needed

[N. J. A. Sloane]

Dear Seqfans
there's a sequence that maybe someone could compute

To start with, recall that there are numbers that are
called the infinitary divisors of n

Their sum gives A049417,
the number of infinitary divisors gives A037445.
They are defined there and (maybe clearer) in A006407

ok, so take n, make a list of its infinitary divisors,
(call them d_1, d_2, ... d_k)
compute their harmonic mean, which is
 
1 / ( (1/k) * (Sum 1/d_i ) )

The sequence i'm interested in is the set of n for which
this harmonic mean is an integer.

There's a paper, Infinitary harmonic numbers,
by Hagis and Cohen, Math. Rev. 91d:11001,
Bull. Australian math. Soc., 41 (1990), 151-158
that discusses their their asymptotics.
If you have access to math sci net, see
http://www.ams.org/msnmain?co3=AND&co4=AND&dr=all&fmt=doc&fn=105&id=91d_11001&l=100&pg3=ICN&pg4=TI&r=2&s3=Cohen&s4=infinitary

The sequence may be in the EIS already under a different name.

NJAS