The audio is from Tokyo 85, isn't it?

sambos apprentice is right. Basically it's just a lot of open A stings plus some natural harmonics.

Play an A5 power chord, then a lot of open A string notes - listen to the record to get the
timing and the feeling right, then play the natural harmonics part.

Note: *'s are natural harmonics. Hopefully, the tab won't look too messy and you'll get the main idea.

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Natural harmonics part:

* * * * * *
|------------------|
|--5-------7-------|
|----5-------7-----|
|------5-------7---|
|------------------|
|------------------|

Variation :
* * * * * *
|------------------------------------------------------------------|
|------------------------------------------------------------------|
|--2---------4------5-----7∼---2----------4-----5---5-------7------|
|--2---------4------5-----7∼---2----------4-----5-----5-------7----|
|--0-0-0-0-0---0-0----0--------0--0-0-0-0---0-0---------5-------7--|
|------------------------------------------------------------------|

there is also one typical Richie blues lick played on G and e strings.

The rest is just variations of the first part.

The End fast natural harmonics part is something like that:

* * * * * * * * * * * * * * * * * * * * * *
|---------------------------------------------------------|
|--5-------7-------9------12-------7-----5------7---------|
|----5-------7-------9-------12------7-----5------7----5--|
|------5-------7-------9--------12-----7-----5------7-----|
|---------------------------------------------------------|
|---------------------------------------------------------|
W.

Richie plays the last part with pick and fingers.

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Hope that helps.