In program language C, write a code using Bailey formula to approximate Pi

4.5 The Bailey-Borwein-Plouffe Formula The Bailey-Borwein-Plouffe formula (BBP formula) is a formula for . It was discovered in 1995 by Simon Plouffe and is named after the authors of the article in which it was published, David H. Bailey, Peter Borwein, and Plouffe. The formula that they discovered is remarkably simple: p(n)=k=0n16k(8k+148k+428k+518k+61). And if you desire to reduce it to the least number of multiplications, you can rewrite it in Horner normal form: p(n)=k=0n16kk(k(k(512k+1024)+712)+194)+15(k(120k+151)+47)