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Question Number 94603 by byaw last updated on 19/May/20

$$\mathrm{List}\mathrm{the}\mathrm{elements}\mathrm{in}$$$$C=\{x:x\mathrm{is}\mathrm{an}{x}^2⩽4,\mathrm{integer}\}$$

Commented by Rasheed.Sindhi last updated on 20/May/20

$$C=\{-2,-1,0,1,2\}$$

Answered by mathmax by abdo last updated on 20/May/20

$$\mathrm{let}{\mathrm{a}}_{\mathrm{n}}=\mathrm{card}\{(\mathrm{x},\mathrm{y})\in {\mathrm{N}}^2/\mathrm{x}+2\mathrm{y}=\mathrm{n}\}\mathrm{calculate}\sum _{\mathrm{n}=0}^{\mathrm{\infty }}{\mathrm{a}}_{\mathrm{n}}{\mathrm{x}}^{\mathrm{n}}$$$$\mathrm{its}\mathrm{a}\mathrm{question}$$

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