A157193 Greedy Egyptian fraction expansion for 4/Pi.

1, 4, 44, 1953, 4179942, 42836179578838, 3958573977160882295479936105, 36328295343356352083453782833218820307659379901717630389

Offset: 0

Author

Jaume Oliver Lafont, Feb 24 2009

Keywords

• frac
• nonn

Comments

Sum_{n>=0}1/a(n)=4/Pi

Truncating the series to three terms yields the convergent 22/7 as an approximation to Pi:

1+1/4+1/44=14/11=4/(22/7)

Links

• Wikipedia, Greedy algorithm for Egyptian fractions

Crossrefs

Cf. A088538, A154956, A156618.

Programs

PARI

x=4/Pi; for (k=0,7,d=ceil(1/x);x=x-1/d;print(d,", "))