diff --git a/sequence.ml b/sequence.ml
index 9ea456a..0a73565 100644
--- a/sequence.ml
+++ b/sequence.ml
@@ -210,7 +210,7 @@ module MList = struct
 
   let to_seq l k = iter k l
 
-  let to_stream l =
+  let _to_next arg l =
     let cur = ref l in
     let i = ref 0 in (* offset in cons *)
     let rec get_next _ = match !cur with
@@ -218,13 +218,17 @@ module MList = struct
       | Cons (_, n, tl) when !i = !n ->
           cur := !tl;
           i := 0;
-          get_next 42 (* any value would do *)
+          get_next arg
       | Cons (a, n, _) ->
           let x = a.(!i) in
           incr i;
           Some x
-    in
-    Stream.from get_next
+    in get_next
+
+  let to_gen l = _to_next () l
+
+  let to_stream l =
+    Stream.from (_to_next 42 l)  (* 42=magic cookiiiiiie *)
 end
 
 (** Iterate on the sequence, storing elements in a data structure.
@@ -554,6 +558,21 @@ let to_set (type s) (type v) m seq =
     (fun set x -> S.add x set)
     S.empty seq
 
+type 'a gen = unit -> 'a option
+
+let of_gen g =
+  (* consume the generator to build a MList *)
+  let rec iter1 k = match g () with
+    | None -> ()
+    | Some x -> k x; iter1 k
+  in
+  let l = MList.of_seq iter1 in
+  MList.to_seq l
+
+let to_gen seq =
+  let l = MList.of_seq seq in
+  MList.to_gen l
+
 (** {2 Functorial conversions between sets and sequences} *)
 
 module Set = struct
diff --git a/sequence.mli b/sequence.mli
index 97ef759..b1829bb 100644
--- a/sequence.mli
+++ b/sequence.mli
@@ -329,6 +329,14 @@ val of_set : (module Set.S with type elt = 'a and type t = 'b) -> 'b -> 'a t
 val to_set : (module Set.S with type elt = 'a and type t = 'b) -> 'a t -> 'b
   (** Convert the sequence to a set, given the proper set module *)
 
+type 'a gen = unit -> 'a option
+
+val of_gen : 'a gen -> 'a t
+  (** Traverse eagerly the generator and build a sequence from it *)
+
+val to_gen : 'a t -> 'a gen
+  (** Make the sequence persistent (O(n)) and then iterate on it. Eager. *)
+
 (** {2 Functorial conversions between sets and sequences} *)
 
 module Set : sig