Really love your computer generated images of the sequence. Recently there was a numberphile video about the Recamán sequence. ->
Besides a visual representation a pretty neat way of thinking about it is terms of notes on a keyboard. The above video also contains a sound bite of the sequence :)
Thank you very much! I saw this video from Numberphile and it was my main inspiration to do some numerical experiments. Music is not far from math really and this video is excellent example :)