Ethylene/alpha-olefins block interpolymers

An ethylene/α-olefin interpolymer comprising polymerized units of ethylene and α-olefin, wherein the interpolymer is a block interpolymer comprising at least about 60 mole percent ethylene and wherein the block interpolymer is characterized by an average block index greater than about 0.1 and up to about 1.0, a molecular weight distribution, Mw/Mn, greater than about 1.3;

• and wherein the ethylene/α-olefin interpolymer has the following characteristics:
• (a) a polydispersity index fitting a Schultz-Flory distribution;
• and
• (b) a formula (AB)n where n is at least 1, “A” represents a block of polymerized units in which ethylene is present in an amount greater than 95 weight percent, and “B” represents a block of polymerized units in which α-olefin is present in an amount greater than 5 weight percent wherein each of block A and B has monomers randomly distributed within the block.