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A006487 Egyptian fraction for square root of 2.
(Formerly M2962)
+0
26
1, 3, 13, 253, 218201, 61323543802, 5704059172637470075854, 178059816815203395552917056787722451335939040 (list; graph; listen)
OFFSET

0,2

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Index entries for sequences related to Egyptian fractions

Eric Weisstein's World of Mathematics, Egyptian Fraction

MATHEMATICA

lst={}; k=N[Sqrt[2], 1000]; Do[s=Ceiling[1/k]; AppendTo[lst, s]; k=k-1/s, {n, 12}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 02 2009]

CROSSREFS

Sequence in context: A036680 A111431 A015701 this_sequence A042823 A132560 A128385

Adjacent sequences: A006484 A006485 A006486 this_sequence A006488 A006489 A006490

KEYWORD

nonn,new

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Simon Plouffe (simon.plouffe(AT)gmail.com)

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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