Hi, here's one alternate narration:
Abu Sa’id Khudri reported that Allah’s Messenger (may peace be upon him) said: Do not take down anything from me, and he who took down anything from me except the Qur’an, he should efface that AND narrate from me, for there is no harm in it and he who attributed any falsehood to me−and Hammam said: I think he also said:” deliberately” −he should in fact find his abode in the Hell−Fire. (Source: Sahih Muslim Book 42, Number 7147)
Here are some narrations that say the companions were ordered to not write anything down:
From Ibn Hanbal: Zayd Ibn Thabit (The Prophet’s closest revelation writer) visited the Khalifa Mu’aawiyah (more than 30 years after the Prophet’s death), and told him a story about the Prophet. Mu’aawiyah liked the story and ordered someone to write it down. But Zayd said. ” the messenger of God ordered us never to write anything of his hadith”.
Ibn Saeed Al-Khudry reported that the messenger of God had said, “Do not write anything from me EXCEPT QURAN. Anyone who wrote anything other than the Quran shall erase it.”
Again, in the book “Taq-yeed Al-Ilm”, Abu Saeed Al-Khudry said, ” I asked the Messenger of God a permission to write his hadiths, but he refused to give me a permission.”
The hadiths are mixed up on this issue. It's hard to tell whether writing down his sayings was actually prohibited or not.