TPS766xx and Cout ESR

Given that the ESR of tantalum and aluminum capacitors varies quite a bit, the best solution might be to use a ceramic capacitor in series with a small resistor.  If not, then you might try the following tantalums:

AVX's TCJ series

Kemet's T520 series

NIchicon's F3xx series

or aluminum/Polymer:

Panasonics EEF series

Nichicon's F180 or RFS series

Kemet's A700 series

Sanyo's OSCON.

I selected these by going to a distributor's website and searching for capacitors in the capacitance and voltage range of interest but with ESR's between 50 and 250 mohm. 

Thanks for answer (Mr. Vignali insesrted the request for us).

By the way, as far as we can see, you refer to the ESR @ 100 KHz typical value.

Is this the approach for our analysis ?

We thought to keep in account the ESR frequency graph (i.e. 1KHz - 1 MHz from capacitor datasheet) assuring that the value never lower the limit.

Rletaed to ceramic capacitor, did you experience with component that meet the ESR requirement without external resistors ?

Thanks

You want to the ESR to meet the datasheet requirement in the 10kHz - 100kHz range.

No ceramic capacitor of which I am aware with meet the ESR requirements of those ICs you are using.