R coding - building a dynamic pattern

i need to create a dynamic repeating well pattern column in R as part of a script to generate an input file for an automated pipetter. The goal is to make a dataframe column that repeats the pattern in wellVec1 a total of repeatValue times, followed by repeating wellVec2 a total of repeatValue times in the same column, and so on until all of the wellVec patterns have been used. It should look like this:

A1
C1
A1
C1
A2
C2
A2
C2
A3
C3
A3
C3

using these simplified examples of the wellVec patterns:

repeatValue <- 2
wellVec1 <- c("A1", "C1") 
wellVec2 <- c("A2", "C2")  
wellVec3 <- c("A3", "C3") 

Thanks for your help!