for loop - Iterating a function based on data.frame cell values -

i have been beating head against problem , have made little progress.

i have data.frame 4 columns , 8 rows. table shows column names not row names.

5   10  20  40 1   1   2   4 1   2   4   8 2   3   6   12 2   4   8   16 3   5   10  20 3   6   12  24 4   7   14  40 4   8   16  40 

i need calculate function, y <- (c-(i-1))/((k/2)*(1+k)), • c number in data.frame cell • k value of column name • iteration number loop through function c times.

for example, cell [8,1], need iterate function 4 times, = 1:4.

i new r, , each piece of has been challenge, iteration portion has me stumped. how can use cell value data.frame control iterations such through loop?

i have set nested loops move through data.frame column, row, iterate function based on cell value, latter loop not working.

perhaps there more simple approach, apply , dplyr approaches have not worked me either.

thanks much.