3-Allyl substituted five six and seven membered lactams, are readily available in good yields and reasonable selectivity by a formal Meerwein Eschenmoser [3, 3] rearrangement, using readily available methoxymethyleniminium salts and lithium alkoxides derived from allyl alcohols.
[Vanlaer, Sofie; De Borggraeve, Wim M.; Voet, Arnout; Gielens, Constant; De Maeyer, Marc; Compernolle, Frans European Journal of Organic Chemistry, 2008 , # 15 p. 2571 - 2581]