Table: eastern_college_hockey_teams
Columns: institution
location
founded
affiliation
enrollment
team_nickname
primary_conference

Question: What's the total enrollment of public schools located in Buffalo, New York that were founded after 1846?
SQL: SELECT SUM("enrollment") FROM eastern_college_hockey_teams WHERE "location" = 'buffalo, new york' AND "affiliation" = 'public' AND "founded" > 1846