Controlling my air condition using IR

Modified a bit the sketch to get a more compact output, this is what I got from a working original remote:

Received #pulses: 91

Received:

OFF ON
59768 usec, 3020 usec ; 3900 usec, 1880 usec ; 960 usec, 940 usec ; 1940 usec, 1880 usec ; 960 usec, 940 usec ; 1000 usec, 960 usec ; 900 usec, 1000 usec ; 920 usec, 980 usec ; 920 usec, 1000 usec ; 940 usec, 920 usec ; 1940 usec, 1880 usec ; 960 usec, 940 usec ; 1920 usec, 1900 usec ; 1000 usec, 900 usec ; 960 usec, 1020 usec ; 900 usec, 940 usec ; 1000 usec, 900 usec ; 1000 usec, 920 usec ; 980 usec, 920 usec ; 960 usec, 960 usec ; 960 usec, 940 usec ; 960 usec, 940 usec ; 960 usec, 940 usec ; 960 usec, 1000 usec ; 920 usec, 940 usec ; 1000 usec, 960 usec ; 920 usec, 940 usec ; 980 usec, 960 usec ; 940 usec, 940 usec ; 1900 usec, 1960 usec ; 920 usec, 2900 usec ; 3900 usec, 1900 usec ; 960 usec, 940 usec ; 1920 usec, 1980 usec ; 880 usec, 960 usec ; 960 usec, 940 usec ; 960 usec, 940 usec ; 980 usec, 1020 usec ; 880 usec, 940 usec ; 1000 usec, 960 usec ; 1860 usec, 1980 usec ; 880 usec, 960 usec ; 1940 usec, 1920 usec ; 920 usec, 940 usec ; 1000 usec, 900 usec ; 960 usec, 960 usec ; 960 usec, 940 usec ; 1000 usec, 960 usec ; 900 usec, 960 usec ; 960 usec, 940 usec ; 960 usec, 940 usec ; 960 usec, 960 usec ; 960 usec, 940 usec ; 1000 usec, 900 usec ; 960 usec, 960 usec ; 960 usec, 1040 usec ; 860 usec, 940 usec ; 1000 usec, 920 usec ; 960 usec, 940 usec ; 1920 usec, 1900 usec ; 960 usec, 2960 usec ; 3860 usec, 1900 usec ; 960 usec, 940 usec ; 1920 usec, 1900 usec ; 960 usec, 940 usec ; 960 usec, 940 usec ; 960 usec, 960 usec ; 960 usec, 980 usec ; 920 usec, 940 usec ; 1000 usec, 960 usec ; 1880 usec, 1940 usec ; 920 usec, 940 usec ; 1920 usec, 1920 usec ; 980 usec, 900 usec ; 980 usec, 960 usec ; 960 usec, 920 usec ; 960 usec, 940 usec ; 960 usec, 1000 usec ; 920 usec, 940 usec ; 980 usec, 940 usec ; 980 usec, 980 usec ; 900 usec, 1000 usec ; 900 usec, 940 usec ; 1000 usec, 900 usec ; 980 usec, 940 usec ; 960 usec, 1000 usec ; 920 usec, 940 usec ; 960 usec, 940 usec ; 1000 usec, 980 usec ; 1880 usec, 1920 usec ; 920 usec, 3860 usec ; Received #pulses: 1

and this is what I am getting from my IR transmitter circuit:

Received #pulses: 90

Received:

OFF ON
64620 usec, 2980 usec ; 3920 usec, 1920 usec ; 980 usec, 960 usec ; 1900 usec, 1940 usec ; 940 usec, 960 usec ; 980 usec, 920 usec ; 940 usec, 980 usec ; 960 usec, 980 usec ; 920 usec, 940 usec ; 960 usec, 940 usec ; 1880 usec, 1920 usec ; 960 usec, 940 usec ; 1920 usec, 1900 usec ; 960 usec, 960 usec ; 940 usec, 940 usec ; 980 usec, 940 usec ; 940 usec, 980 usec ; 920 usec, 980 usec ; 920 usec, 980 usec ; 920 usec, 980 usec ; 960 usec, 940 usec ; 960 usec, 940 usec ; 960 usec, 940 usec ; 960 usec, 940 usec ; 940 usec, 960 usec ; 960 usec, 940 usec ; 980 usec, 920 usec ; 960 usec, 940 usec ; 980 usec, 920 usec ; 1920 usec, 1900 usec ; 980 usec, 2940 usec ; 3940 usec, 1880 usec ; 960 usec, 940 usec ; 1920 usec, 1900 usec ; 960 usec, 940 usec ; 960 usec, 940 usec ; 960 usec, 960 usec ; 940 usec, 940 usec ; 960 usec, 940 usec ; 960 usec, 1000 usec ; 1860 usec, 1940 usec ; 940 usec, 940 usec ; 1920 usec, 1920 usec ; 920 usec, 940 usec ; 980 usec, 960 usec ; 940 usec, 960 usec ; 940 usec, 940 usec ; 960 usec, 960 usec ; 940 usec, 940 usec ; 960 usec, 940 usec ; 980 usec, 940 usec ; 940 usec, 960 usec ; 960 usec, 940 usec ; 940 usec, 960 usec ; 980 usec, 940 usec ; 960 usec, 940 usec ; 960 usec, 1000 usec ; 880 usec, 980 usec ; 940 usec, 940 usec ; 1920 usec, 1880 usec ; 960 usec, 2960 usec ; 3920 usec, 1920 usec ; 940 usec, 960 usec ; 1900 usec, 1920 usec ; 960 usec, 940 usec ; 960 usec, 940 usec ; 960 usec, 960 usec ; 940 usec, 940 usec ; 960 usec, 940 usec ; 960 usec, 940 usec ; 1920 usec, 1880 usec ; 980 usec, 960 usec ; 1880 usec, 1900 usec ; 960 usec, 940 usec ; 960 usec, 980 usec ; 940 usec, 960 usec ; 940 usec, 960 usec ; 940 usec, 980 usec ; 920 usec, 960 usec ; 960 usec, 960 usec ; 940 usec, 940 usec ; 960 usec, 960 usec ; 940 usec, 940 usec ; 960 usec, 940 usec ; 960 usec, 940 usec ; 960 usec, 1000 usec ; 900 usec, 940 usec ; 960 usec, 940 usec ; 960 usec, 980 usec ; 1900 usec, 1900 usec ;

note that the basic signal repeats with a sync sequence of ~3000 usec on followed by ~3900 usec space (actually the space is the sync + the first half bit which in my case is starting with a space)
you will notice that the basic signal repeats