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Search: id:A069139
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| A069139 |
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Egyptian fraction for square root of 1/2. |
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+0
25
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| 2, 5, 141, 68575, 32089377154, 1644444237306316731482, 65593236350142721999718859354569312622907814, 55836140966941396682452590821074724094286247680248793718758259857815239633935672\ 711970868
(list; graph; listen)
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OFFSET
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0,1
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LINKS
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Index entries for sequences related to Egyptian fractions
Eric Weisstein's World of Mathematics, Egyptian Fraction
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FORMULA
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a(n) =ceiling[1/sqrt(2)-Sum_i{i<n}1/a(i)]
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EXAMPLE
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a(3)=68575 since sqrt(1/2)=0.707106781186..., 1/2+1/5+1/141+1/68574=0.707106781368... (which is too much) and 1/2+1/5+1/141+1/68575=0.707106781155... (which is not too much).
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MATHEMATICA
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a = {}; k = N[1/Sqrt[2], 1000]; Do[s = Ceiling[1/k]; AppendTo[a, s]; k = k - 1/s, {n, 1, 10}]; a [From Artur Jasinski (grafix(AT)csl.pl), Sep 22 2008]
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CROSSREFS
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Cf. A006487.
Sequence in context: A088271 A145620 A130412 this_sequence A155762 A062611 A041505
Adjacent sequences: A069136 A069137 A069138 this_sequence A069140 A069141 A069142
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KEYWORD
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nonn
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Apr 08 2002
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