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Rabbi Yochanan: The shehechyanu blessing is recited on Shemini Atzeres.

A proof was attempted from the beraisa “Rabbi Yehuda: Shemini Atzeres requires Korban, Shir, Bracha and Linah”. It would seem that “Bracha” means Shehechyanu.

The gemara rejects this and says instead that it is referring to Birkas Hamazon and Tefillah.

 Summary 

 It would seem so: Because if it means shehechyanu, how do you explain the beginning of the beraisa “All seven days of Sukkos require Bracha”, only the first day requires a shehechyanu? 

 Response: It could mean that if someone missed the shehechyanu, he can make up for it all week.

 Challenge: But the shehechyanu has to be made as part of kiddush, which is only possible on the first night?

 Suggestion: Perhaps this is a proof to Rabbi Nachman.

 Rabbi Nachman: The shehechyanu blessing can be recited even on the street [without wine].

 Response: It is not necessarily a proof, perhaps the Chachomim of the beraisa are discussing a case where he has wine.

 Challenge: Does Rabbi Yehuda hold that Shemini requires Linah?

 Beraisa: Rabbi Yehuda: Pesach Sheini does not require Linah because it states “In the morning [after Linah] you shall return to your homes, for six days you shall eat Matzoh” so we see that only what requires six days requires Linah.

So it seems that in addition to excluding Pesach Sheini, he excludes Shemini Atzeres as well (it would seem to exclude Shavuos as well). 

 Resolution: It excludes only Pesach Sheini.