Is anyone aware of an aircraft certified where VA>VS√n?
Not exactly, though it may appear so if one only considers the published Va for the normal category when the airplane was originally certified in both the normal and utility categories.
From the above linked
The Flight Writer: Va: Not a Bad Speed, Just Misunderstood (Part 2):
At maximum gross weight, the Piper Cherokee (PA-28-140) has a stall speed (Vs) of 64 MPH, a limit load factor of 3.8 g’s, and a Va of 129 MPH.
The PA28-140, like several other production SEL piston airplanes, is FAA certified in both the normal (3.8g) and utility (4.4g) categories. The MGW is lower and the aft CG limit is further forward in the utility category. The aircraft may be operated in either category provided that the appropriate limitations for the applicable category are respected.
So, doing the math:
Vs = 64
Normal category load limit factor
sq rt 3.8 = 1.949
1.949 x 64 = 124
Utility category load limit factor
sq rt 4.4 = 2.0976
2.0976 x 64 = 134.247
134 + 124 = 258.
258 / 2 = 129 mph
See what it looks as though they did? Right, simply average the utility and normal category calculated maneuvering speeds to arrive a a single published Va applicable to BOTH categories.
Try this for the dual category certified C-172 and see if you don't find a similar result!