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Search: id:A157193
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| A157193 |
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Greedy Egyptian fraction expansion for 4/Pi |
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+0
1
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| 1, 4, 44, 1953, 4179942, 42836179578838, 3958573977160882295479936105, 36328295343356352083453782833218820307659379901717630389
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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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)
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LINKS
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Wikipedia, Greedy algorithm for Egyptian fractions
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PROGRAM
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(PARI) x=4/Pi; for (k=0, 7, d=ceil(1/x); x=x-1/d; print(d, ", "))
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CROSSREFS
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Cf. A088538, A154956, A156618.
Sequence in context: A155556 A127635 A134174 this_sequence A024254 A167781 A075029
Adjacent sequences: A157190 A157191 A157192 this_sequence A157194 A157195 A157196
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KEYWORD
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frac,nonn
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AUTHOR
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Jaume Oliver Lafont (joliverlafont(AT)gmail.com), Feb 24 2009
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