Just got my ESP-13 set up and it seems that the pinout is the same as the "WROOM-02".
I set it up exactly as the ESP-12E or ESP12.
Just wanted to share this with you and perhaps someone can clear what this means.
In Serial Monitor I get :
AT+RST
OK
ets Jan 8 2013,rst cause:4, boot mode:(3,7)
wdt reset
load 0x40100000, len 1320, room 16
tail 8
chksum 0xb8
load 0x3ffe8000, len 776, room 0
tail 8
chksum 0xd9
load 0x3ffe8308, len 412, room 0
tail 12
chksum 0xb9
csum 0xb9
2nd boot version : 1.3(b3)
SPI Speed : 40MHz
SPI Mode : QIO
SPI Flash Size : 8Mbit
jump to run user1
rŽÃ[ÿ
Ai-Thinker Technology Co. Ltd.
ready
AT+GMR
AT version:0.23.0.0(Apr 24 2015 21:11:01)
SDK version:1.0.1
Ai-Thinker Technology Co. Ltd.
Apr 27 2015 13:55:14
OK
This is without writing any firmware on the chip.