Abstract
In a recent paper, Majumdar [1] studied, to some extent, the generalized recurrence relation, introduced by Matsuura [2] : ( ) ( ) 2 1 1 s MT n, min MT n s, , s n where n ≥ 1 and ≥ 2 are integers. It may be mentioned here that, =2 corresponds to the Reve’s puzzle, introduced by Dudeney [3]. In this paper, we study more closely the properties of the function MT(n, ), and give a closed-form expression of it when =2 i (for any integer i ≥ 2).