Do you think it's okay, to give a son your father's last name of your father never had sons?

Azkadellia • Currently just trying to get my body to do what it`s supposed to. Lesbian.
My dad is the last male in our family line, if I take a man's last name when I get married the name dies with my dad as he only had girls. I'm thinking, if my future SO is okay with it, that I'll give one of our sons my dads last name. 
Is that something you would consider okay or not?

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