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A157193 Greedy Egyptian fraction expansion for 4/Pi 0
1, 4, 44, 1953, 4179942, 42836179578838, 3958573977160882295479936105, 36328295343356352083453782833218820307659379901717630389 (list; graph; refs; listen; history; internal format)
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

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: A188456 A127635 A134174 * A024254 A167781 A173327

Adjacent sequences:  A157190 A157191 A157192 * A157194 A157195 A157196

KEYWORD

frac,nonn

AUTHOR

Jaume Oliver Lafont (joliverlafont(AT)gmail.com), Feb 24 2009

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Last modified February 16 19:44 EST 2012. Contains 205950 sequences.