What next in 0,1,6,25,96,361,1350,5041?

[Don Reble]

> Let me finish my lengthy posting with the answer to the
> question in the subject line: 18816 (see table).

Let me preserve brevity by not answering this stumper:
What's next in 45 96 175 288 320 640 891 1200 1350?
(Hint: it has something to do with Rainer's S_r sequences.)

--
Don Reble       djr at nk.ca