Probably use the apply function. If the data frame (df) has only 6 columns, you can just omit the first column with df[,-1]. Then apply the rbind function to every row (MARGIN=1) and combine the values into a vector with the c function.
c(apply(df[,-1], MARGIN=1, rbind))
Reproducible example
Using the mtcars data:
> df <- mtcars[1:6]
> head(df)
                   mpg cyl disp  hp drat    wt
Mazda RX4         21.0   6  160 110 3.90 2.620
Mazda RX4 Wag     21.0   6  160 110 3.90 2.875
Datsun 710        22.8   4  108  93 3.85 2.320
Hornet 4 Drive    21.4   6  258 110 3.08 3.215
Hornet Sportabout 18.7   8  360 175 3.15 3.440
Valiant           18.1   6  225 105 2.76 3.460
> x <- c(apply(df[,-1], 1, rbind))
> head(x,20)
 [1]   6.000 160.000 110.000   3.900   2.620   6.000 160.000 110.000   3.900   2.875
[11]   4.000 108.000  93.000   3.850   2.320   6.000 258.000 110.000   3.080   3.215