Brown-Séquard syndrome (cord hemisection) gives ipsilateral weakness (corticospinal) and ipsilateral loss of proprioception and vibration (dorsal column), with contralateral loss of pain and temperature (spinothalamic tract crosses).

• For a right-sided lesion: right hemiparesis, right proprioception loss, left pain/temperature/pinprick loss are all expected.
• Left-sided vibration loss is not expected, because vibration is lost on the same (right) side.