extracting column at regular intervals starting from different columns

Dear useRs,
i had a matrix with 31 rows and 444 columns and i wanted to extract every 37th column of that matrix starting from 1. more precisely i wanted to select columns 1, 38,75, 112 and so on. then doing the same by starting from column number 2(2,39,76,113.......).
i was advised to use 

x[c(TRUE, rep(FALSE, 36)),]

i works if it is start from first column but as i am very new to R i wanted to know what to do to make it work if i want to start column selection from column 2 and then from column 3 and so on.
sorry for bothering you once again..

I have defined 2 more functions for David's and Clint's solution and my solution.

f3 <- function(x,M,start=1) {
    x[c(rep(FALSE,start-1),TRUE,rep(FALSE,M-start))]
} 

f4 <- function(x,M,start=1) {
    x[c(start,seq_len((length(x)-1)/M)*M+start)]
}

z3 <- f3(a,M,start=1)
z4 <- f4(a,M,start=1) 
identical(z3,z1)
identical(z3,z2)

z5 <- f3(a,M,start=4)
z6 <- f4(a,M,start=4)
identical(z5,z6)

With

N <- 444
a <- 1:N
M <- 37 

I get the following timing results.

benchmark(f3(a,M,start=4), f4(a,M,start=4), replications=Nrep)

test replications elapsed relative user.self sys.self
 1 f3(a, M, start = 4)       100000   1.621    1.562     1.606    0.014
 2 f4(a, M, start = 4)       100000   1.038    1.000     1.035    0.002

Compared to the timings for start=1 (previous post) the solution with rep becomes slightly slower.

Berend