A polymeric composition to be used in producing low density foam in which the polymeric composition comprises high density polyethylene, alkenyl aromatic polymer and a linear low density polyethylene. The polymeric resins may be prime virgin resin, offgrade virgin resin, recycled resin from a post industrial source, recycled resin from a post consumer source, or blends thereof Inventive compositions for producing polymeric foam are characterized by Dynamic Mechanical Spectroscopy to have a complex viscosity (η*) in the range of 6.0×104 to 2.5×105 poise and a loss tangent (tan δ) in the range of 0.7 to 2.1 at 190° C. and a power-law relation between tan δ and η* where the exponent is within the range between −0.70 and −0.30 for the temperature range of 190° to 230° C.