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If G(x)G ( x ) Is the Generating Function For a0,a1,a2,a3,a _ { 0 } , a _ { 1 } , a _ { 2 } , a _ { 3 } , \ldots

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If G(x)G ( x ) is the generating function for a0,a1,a2,a3,a _ { 0 } , a _ { 1 } , a _ { 2 } , a _ { 3 } , \ldots describe in terms of G(x)G ( x ) the generating function for a0,0,a1,0,a2,0,a3,0,a4,a _ { 0 } , 0 , a _ { 1 } , 0 , a _ { 2 } , 0 , a _ { 3 } , 0 , a _ { 4 } , \ldots


Definitions:

Yeast

A unicellular fungus (usually an ascomycete) that reproduces asexually by budding or fission, and sexually by ascospores.

Perforated Septum

A condition where the nasal septum, the bone and cartilage that separates the nasal cavity, has one or more holes.

Conidium

An asexual spore that is usually formed at the tip of a specialized hypha called a conidiophore.

Basidium

The clublike spore-producing organ of basidiomycetes that bears sexual spores called basidiospores.

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