Cropping sequence experiments are getting more popularize in the recent era of agriculture. Here, estimation of main effects applied in every season as well as residual effect and their interaction with application in next season are important for consideration. The problem of maintaining homogeneity in application of large number of factors can be handle by considering a fraction of complete factorial effects. Also, a little work based on fractional factorial experiments are available in literature and those designs are computer specific as based on algorithm. This article develops a simple construction method for generation 1/2k 2n i.e., factorial with fractional replicates which provides estimation of all main effects and two factor interactions between consecutive factors.