Concept

started with 𝑃0=1 and 𝑃1=𝑥,

𝑃𝑘+1(𝑥)=2𝑘+1𝑘+1𝑡𝑃𝑘(𝑡)𝑘𝑘+1𝑃𝑘1(𝑡)

Weight

𝑤(𝑥)=1