Sorry, that does not make sense!
If you are referring to LED strips using WS2812 or similar, then you presumably mean they have a controller that generates (relatively) simple patterns. The controller is "remembering" the last pattern it was told (by Flash/ NovRAM) and as soon as switched on, it starts feeding the corresponding codes to the strip. Or it remembers two alternatives - "OFF", which is all black, and a specified fixed or dynamic pattern.
At full white, 16.5 Amps per 300 LED strip.
It has no memory other than one single pattern. Turned off, that is erased.
An Arduino. When turned on, it sends whatever pattern you wish, to the strip.