Flat comb spectrum

[Elvee]

Hi,

I would like to generate a comb like spectrum with a digital signal.
The most obvious technique is to use a Dirac-like pulse, but I need some refinements: I would like the spectrum to be flat for 10 to 20 spectral lines, but I want the fundamental to be suppressed. For example, for 1KHz, I want 2, 3, 4, ..., 20KHz but not 1KHz. With a narrow pulse having a repetition rate of 1KHz, I'd get the unwanted 1KHz, and with 2KHz, I'd miss all the odd-numbered lines.
I would also like to have more useful energy than with a simple narrow pulse.
All this requires the construction of a particular sequence, with additional, well-placed transitions, and I would like to know that sequence, and also the process to compute it.

In fact, I need just the opposite of the "magic sinewaves". They contain the fundamental and no harmonics up to an arbitrary number, and I want no fundamental and all the harmonics.
http://www.tinaja.com/glib/msintro1.pdf
Cheers