Yes, your "first cousin once removed" is either :
Your first cousin and your children are first cousins, once removed to each other. Your children and your first cousin's children are second cousins to each other
Your first cousin's kids would be YOUR second cousins, and your kids third cousins.
The children of your first cousin are your first cousins, once removed.
They are cousins.
I think the kids would be second cousins
There are two possible answers. They could be second cousins. Or they could be first cousins twice removed.
Your father has a cousin so they are first cousins, meaning that your grandpa, and the other guy's grandpa were real brothers. Therefore, you and that other guy's kids are second cousins.
I think the kids would be second cousins
If two people are first cousins, the children of one are second cousins to the children of the other.
Your great uncle's children are your parent's first cousins and your first cousins once removed.
It is physically possible and some groups find marriage between first cousins, let alone second cousins to be acceptable. Such marriages are legal in most of the US.
Yes, but they are a different kind of cousin. The children of your first cousin are your first cousins, once removed.
The children of your great grandfather's brother are your grandparent's first cousins, and your first cousins twice removed.
First cousins once removed.
Your great uncle's kids are your parent's first cousins. His grandchildren are your second cousins.