I've been hearing it on 7259 over the past week or so, after I first discovered it. A lazy sounding CW 'A'. Varies in strength from s1- to s4+, depending on prop, of course (S4+ out of S1-S5). The only other CW beacon I can pick up here at my location in WA state is the Desert Whooper (not counting the 'K' military beacon on 7030 out of Petropavlovsk). This 'A' beacon is much louder than the Desert Whooper. The Desert Whooper is usually really low level, in the static.
Never heard the 3844 kHz 'A' beacon, at least any time I've tried for it.
Wednesday night the 'A' beacon wasn't in at all -- I'm guessing the propagation to wherever it's located wasn't good.
Earlier tonight it was varying from s2-s3+ or so. I've noticed that -- at least at my location -- sometimes it disappears after 2:30 AM Pacific time. Not sure if that's prop related or it gets shut off. For example, earlier this evening it was in with s3+ signals, and right now it's MIA. And it's 3:44 AM local. Could be prop dropped out between me and the beacon, or maybe it's timed? Hard to say. The 40M band still has some ham activity, a couple Spanish language guys reasonably loud on 7130, and some CW down between 7010-7025 or so.
I have heard the 'A' Beacon as late as 6 AM Pacific time here.
Either way, this new beacon is a mystery.
Equipment here varies from Tecsun PL330 to Yaesu FRG-7 to DX-394, all off the same 25-30 ft indoor 2nd story antenna.