This is the linen stitch. I learned it for a pattern I'm currently working on.
You will need an even number of stitches so that you start all your rows with a knit or purled stitch and end every row ends with a slipped stitch.
The pattern is: *k1, yarn to front, slip 1,* repeat to end of row.
|Yarn to front, slip 1|
|Return yarn to back, knit again to continue the pattern|
Next row: *p1, yarn to back, slip1,* repeat to end of row.
|Yarn to back, slip 1|
|Rows must end with a slipped stitch|