Serial port on HP Laserjet 4M Plus

HP LaserJet 1022 is a "host-based" printer so it must be connected to a PC. Load the driver on PC first and connect the USB cable when software tells you to do so.

Will not work on a Linksys print server.

LaserJet 1022N & LaserJet 1022NW have "special" HP print servers that can support HP host based printers.

Can you ping the i.p. for the printer

That sounds like a problem with your printer driver to me. If the wrong driver is used, then print codes that the other device uses will not be interpreted correctly by your Laserjet 4M Plus, which will cause it to beep. Check the driver on your computer to make sure that you are using one designed for any of the following:

HP Laserjet 4
HP Laserjet 4+
HP Laserjet 4M
HP Laserjet 4M Plus

(Either the symbol "+" or the word "Plus" may be used but most commonly the + is the non-Postscript version and the word is used with the Postscript version. Just as an FYI, the only two differences between the M and non-M versions are the ability to speak Appletalk and the addition of the Postscript module, which is in one of the RAM expansion slots.)

This printer will not work with a Mac - it has no postscript.

The only laserjet 4's that work with Macs all have an "M" in their name - 4M, 4M Plus etc.

You might be able to get a Postscript personality module for the printer to effectively upgrade it to the "M" version.

What connector/interface does your PC has
9-pin or 25-pin connector

If it has 9-pin connector: use the following:
DB-9 RS-232 Serial Connection
or
DB-25 RS-232 Serial Connection

If it has 25-pin connector: use the following:
DB-25 Serial Connection
or
DB-25 RS-232 Serial Connection

If you are configuring the computer to use an RS-422A serial port, you need a special cable. Contact the computer or printer network manufacturer to see if an RS-422A cable is available. If no cable is available, contact your computer manufacturer for your computer pin assignments and have a cable constructed.

The default configuration for the serial port on the printer is for RS-232C serial communication. To set the printer to use RS-422A serial communication, change the control panel Serial Menu’s SERIAL setting to SERIAL=RS-422.

serial to usb is not plug and play so i don't believe this configuration will ever work.
parrallel to usb is plug and play 90% of the time.
purchasing and installing a port replicator is a 100% fix as long as the formatter on the printer is working properly. good luck!

printer keeps running until paper tray empty, msg 41.3

tray HP laser jet III driver

HP LaserJet 4, 4m, 4 Plus and 4m Plus Series Printers - False Error Message 13 PAPER JAM ISSUE: After clearing all jammed paper from the HP LaserJet 4, 4m, 4 Plus, or 4m Plus series printer, the display still reads 13 Paper Jam . Even after cycling the power off and then back on, the error remains. SOLUTION: Open the rear door of the printer. There is a paper sensor near the upper right hand corner of the fusing assembly (just below the right edge of the long yellow warning sticker on the fuser) that can cause paper jam error messages even when there is no jammed paper in the printer. Toggle the thin black plastic lever up and down to make sure it is not stuck or sticky. The lever should be in the down position before closing the back of the printer. If the lever is stuck or missing, the printer will generate a false paper jam message. Hope it will help you !

How is the machine connected? try changing the data cable if this doesn't work then shutdown your computer while the machine is on and reboot as if it is connected via LPT port some systems like to have the printer on before the computer.

Try this and I hope it helps if it doesn't then you might have a faulty print formatter board.
Thanks J