A157193 Greedy Egyptian fraction expansion for 4/Pi

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

Offset

0,2

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

Table of n, a(n) for n=0..7.

Wikipedia, Greedy algorithm for Egyptian fractions

Prog

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

Crossrefs

Cf. A088538, A154956, A156618.

Sequence in context: A127635 A134174 A296729 * A224784 A243221 A238816

Adjacent sequences: A157190 A157191 A157192 * A157194 A157195 A157196

Keyword

frac,nonn

Author

Jaume Oliver Lafont, Feb 24 2009

Status

approved