Most 400 series stainless steels will be ferromagnetic after forming and heat treatment (if any). 440, 430 are typical ferritic grades stainless steels.
300 series s.s. will likely be weakly ferromagnetic after cold forming, 302 ss is an example. These can typically be rendered non-magnetic again with suitable heat treatment, but may soften as a result.
Some (most?) precipitation-hardening grades will be magnetic, 17-4 PH is an example.
Any of the martensitic 400 series stainless grades.
All of the PH stainless alloys are strongly ferromagnetic after aging to high strength.
You could use a cold rolled duplex stainless (S32205) if you needed better corrosion resistance than any of the above. Not quite as high of strength, and not fully ferromagnetic, but close.
Any would work. Again, even 302ss would have some magnetism in hard-condition cold rolled sheet. The biggest choice becomes what environment you want the washer to live in. High temperatures are ok for most 400 series stainless, but more corrosive, wet environments might make you pick a PH or 300 series ss.
If you are looking for a magnetic stainless steels qualified as a "spring steel" you probably should go with 17-7PH condition C and after forming the washer heat treat it to CH900 condition.
With 17-7 in condition CH900, it depends. The material is not as strongly magnetic as low alloy spring steels. You encounter problems trying to mag particle inspect 17-7 CH900 springs because of this. What is the reason for needing a magnetic material?
As the others have noted, there are a number of magnetic stainless steel options that are used in high strength, spring-type applications. Here is some information from Sandvik on their products:
go Sandvik, as TVP says, their 7C27Mo2 strip is rather magnetic, decently corrosion resistant, and will provide a superior fatigue life when finished properly.
There is definately a premium for their steel, they do provide large amounts of data, and if you are not looking for their performance advantages, common production grades will work fine... 420, 17-7, 301 (spring temper) are all good for curved spring washers that need to be magnetic.
Reading the post, are we trying to say "belleview spring washer" ?If so, a number of listings on the "net"; some list 301/302 -17-7 as std material. Not as ferromagnetic as 316 but still "magnetic".
Never measured permeability, etc, but cold worked 316 is not easy to differentiate from carbon steel with a strong magnet- that's what I mean by ferromagnetic.