Here's a way to use IrScrutinizer to generate signals for Pronto Hex, Global Cache, and a number of other formats.

Add the following entry to IrpProtocols.ini:
[protocol]
name=Fujitsu Aircon
irp={38.4k,413}<1,-1|1,-3>(8,-4,20:8,99:8,0:8,16:8,16:8,254:8,9:8,48:8,H:8,J:8, K:8, L:8, M:8,N:8,32:8,Z:8,1,-104.3m)+ {H=16*A + wOn, J=16*C + B, K=16*E:4 + D:4, L=tOff:8, M=tOff:3:8+fOff*8+16*tOn:4, N=tOn:7:8+128*fOn,Z=256-(H+J+K+L+M+N+80)%256} [A:0..15,wOn:0..1,B:0..15, C:0..15,D:0..15,E:0..15,tOff:0..1024,tOn:0..1024,fOff:0..1,fOn:0..1]

Start IrScrutinizer; on the Export tab, set up the desired format.  For example, to make a signal for GC, select Text as the Export Format. and check sendir.

On the Generate tab, Select Fujitsu AirCon, leave the D, S, and F fields blank, and enter the following example string into the Additional Parameters box:
A=0x07 wOn=1 B=0x04 C=0x02 D=0x03 E=0x03 tOff=53 fOff=0 tOn=0x3 fOn=0x1. This is just an example; you'll need to assemble the correct values from the PDF linked in post #11.

A should be set to the desired value from Table A, etc.  wOn is Word 9 bit 0, tOff is the timer off value in Word 12 and part of Word 13.  fOff is Word 13 bit 3.  tOn is Word 14 and part of Word 13, and fOn is Word 14, bit 7.  IrScrutinizer will compute the checksum.

Click Export on the Generate tab to write e.g. GC sendir.  Clicking the Generate button will put Pronto Hex in the Text box.

Edited to correct typos in the irp.