In 一种似曾相识的感觉, 一种 does not mean “one type of”. Removing 一种 does not seem to change anything. Comparing the following, I can’t tell any difference.
So what role does 一种 have?
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种 is a classifier of 感觉
一种(a kind of --> uncertainty) 似曾相识的感觉
一陣(a wave of --> profound) 似曾相识的感觉
一股(a thrust of --> strong) 似曾相识的感觉
一絲絲 (a trace of --> slight) 似曾相识的感觉
有似曾相识的感觉 = have a déjà vu feel
有一种似曾相识的感觉 = have some kind of déjà vu feel (not sure what it is)
有不祥預感 = have a bad feeling
有一种不祥預感 = have some kind of bad feeling (not sure what it is)
給人淒滄的感觉 = give people a miserable feeling
給人一种淒滄的感觉 = give people a kind of miserable feeling (not sure what it is)
The two sentences mean the same The following three sentences have the same meaning