Hello, I am an absolute newbie in Haskell yet trying to understand how it works.

I want to write my own lazy list of integers such as [1,2,3,4,5...].

For list of ones I have written

ones = 1 : ones

and when tried, works fine:

*Main> take 10 ones
[1,1,1,1,1,1,1,1,1,1]

How can I do the same for increasing integers ?

I have tried this but it indeed fails:

int  = 1 : head[ int + 1]

And after that how can I make a method that multiplies two streams? such as:

mulstream s1 s2 = head[s1] * head[s2] : mulstream [tail s1] [tail s2]