According to the sources provided, there is no specific recommended dosage of Tylenol for individuals taking blood thinners. However, caution should be exercised when taking Tylenol (acetaminophen) with blood thinners such as warfarin. The combination of these medications can increase the risk of bleeding.

The first source [1] provides information on the patent status of Tylenol but does not provide any information on the recommended dosage for individuals taking blood thinners.

The second source [2] from Harvard Health Publishing states that taking nonsteroidal anti-inflammatory drugs (NSAIDs) such as aspirin, ibuprofen, and naproxen with blood thinners can increase the risk of bleeding. While Tylenol is not an NSAID, it can also increase the risk of bleeding when taken with blood thinners. The article suggests that individuals taking blood thinners should avoid taking Tylenol or should take it at the lowest effective dose for the shortest possible time.

The third source [3] from The People's Pharmacy also discusses the potential risks of taking Tylenol with blood thinners. The article cites a case report of a patient who experienced bleeding complications after taking Tylenol and warfarin together. The article suggests that individuals taking blood thinners should consult with their healthcare provider before taking Tylenol or any other medication.

In conclusion, while there is no specific recommended dosage of Tylenol for individuals taking blood thinners, caution should be exercised when taking these medications together. It is important to consult with a healthcare provider before taking Tylenol or any other medication while on blood thinners.

Sources:
[1] https://www.drugpatentwatch.com/p/tradename/TYLENOL
[2] https://www.health.harvard.edu/diseases-and-conditions/bad-mix-blood-thinners-and-nsaids
[3] https://www.peoplespharmacy.com/articles/is-acetaminophen-tylenol-and-warfarin-a-scary-combination