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 (.eta.*) in the range of 6.0.times.10.sup.4 to 2.5.times.10.sup.5 poise and a loss tangent (tan .delta.) in the range of 0.7 to 2.1 at 190.degree. C. and a power-law relation between tan .delta. and .eta.* where the exponent is within the range between -0.70 and -0.30 for the temperature range of 190.degree. to 230.degree. C.