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Search: id:A001467
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| A001467 |
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Denominators of an expansion for Pi.
(Formerly M4464 N1893)
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+0
2
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| 1, 1, 1, 7, -791, -3748629, 151648960887729, -1323497544567561138595307148089, 41444465282455711991644958522615049159671653083333293470875123
(list; graph; listen)
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OFFSET
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0,4
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
H. E. Salzer, The approximation of numbers as sums of reciprocals, Amer. Math. Monthly, 54 (1947), 135-142.
J. W. Wrench, Jr., personal communication.
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LINKS
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Index entries for sequences related to the number Pi
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FORMULA
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Numerators are 1.
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EXAMPLE
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a(4)=-791 since pi-(1/1)-(1/1)-(1/1)-(1/7)=-0.001264489... is closer to 1/(-791)=-0.001264222... than to 1/(-790)=-0.0012658228...
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PROGRAM
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(PARI) x=Pi; for(k=0, 8, if(x<1, d=round(1/x), d=1); x=x-1/d; print(d, ", ")) [From Jaume Oliver Lafont (joliverlafont(AT)gmail.com), Feb 21 2009]
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CROSSREFS
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Cf. A001466, A014013, A073422.
Sequence in context: A162089 A020470 A014013 this_sequence A047788 A087350 A093171
Adjacent sequences: A001464 A001465 A001466 this_sequence A001468 A001469 A001470
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KEYWORD
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sign,frac
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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Edited by Henry Bottomley (se16(AT)btinternet.com), Jul 30 2002
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