[math-fun] Small chunks of letters

ONE TWO THREE FOUR ONE TWO ONE TWO TWO THREE ONE TWO THREE THREE FOUR ONE ONE TWO ... Insert a dot after each vowel: O.NE. TWO. THRE.E. FO.U.R O.NE. TWO. O.NE. TWO. TWO. THRE.E. O.NE.TWO. THRE.E. THRE.E. FO.U.R O.NE. O.NE. TW.O ... The size of the successive chunks is given by the sequence itself. Question: does the said sequence enter into a loop? Best, É.