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A001466 Denominator of Egyptian fraction for pi - 3.
(Formerly M4553 N1935)
+0
29
8, 61, 5020, 128541455, 162924332716605980, 28783052231699298507846309644849796, 871295615653899563300996782209332544845605756266650946342214549769447 (list; graph; listen)
OFFSET

1,1

REFERENCES

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.

LINKS

S. Plouffe, Table of n, a(n) for n = 1..11 [There is a limit of about 1000 digits on the size of numbers in b-files]

Index entries for sequences related to the number Pi

S. Plouffe, Table of n, a(n) for n = 1..14

Eric Weisstein's World of Mathematics, Egyptian Fraction

MATHEMATICA

lst={}; k=N[(Pi-3), 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: A071401 A081907 A080525 this_sequence A082179 A044527 A056054

Adjacent sequences: A001463 A001464 A001465 this_sequence A001467 A001468 A001469

KEYWORD

nonn,new

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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