Replaced the capacitors in the Power Supply with these, proactively, some were swelling, but Tivo HD was still working.
Soldering isn't my best skill, but I was slow and careful and got it done. There was a surface mounted capacitor or resistor very close to the through hole for some capacitors, so I might have considered cutting the existing leads and tagging the replacements to the old leads sticking up from the board.. but I desoldered and succeeded at replacing them. I left them standing a little higher than normal away from the board to help with possible cooling by air and heat reflection from the caps to the pc board and back to the caps. I did not use non-corrosive silicone caulk to hold them still.. its kind of expensive, but I did leave them widely separated to keep them from vibrating into each other. I think this is a risk with the heat and cooling cycles and possible physical harmonics, be that fan vibrations, hdd vibrations, or some other vibration from the caps themselves. The electrolytic caps have a fluid between the paste and the wrapped internal planes and expansion and contraction can possibly generate an internal vibration of the cap itself and have adverse side effects if coupled to the pc board or neighboring caps.
The Tivo HD is a Series 3, but there were two or three models in that series, and in the Tivo HD I have apparently there were two different power supplies.
If it helps any my Power supply had the following label on the Input Filter Capacitor
My read is -
Model No: YM-3081A OP AR
3Y Power: CP-1319R2
TiVo P/N: SPWR-00011-000
These are clearly not related to the Capacitor itself or its value and voltage.
There are other markings on the pc board itself.