Wikipedia says The Army Game is a British television sitcom that aired on ITV from 19 June 1957 to 20 June 1961.
Here are a couple of episodes of The Army Game:
But I'm not interested in transcribing "The Signature Song." Too complicated. The usual practice here is to post what you have, and then ask for help in completing the transcription. People are willing to help, as long as you first make an effort and contribute what you've done.