Bought some new ESP-01:s, the version with the black board labeled "Al cloud inside" (here. At first I tried to talk to it via Arduinos serial monitor, connected the Esp via a USB-adapter (here).
Tried some different settings in the serial monitor, what worked was 115200 baud, both NL & CR: AT+CSYSHEAP +CSYSHEAP:25280Bytes OK AT+GMR AT version:0.60.0.0(Jan 29 2016 15:10:17) SDK version:1.5.2(7eee54f4) Ai-Thinker Technology Co. Ltd. May 5 2016 17:30:30 OK With an Android phones network settings we find that the Esp has started a network named Ai-thinker_c2c338. The app Fing tells that the Esp:s Ip is 192.168.4.1.