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A006525 Denominators of greedy Egyptian fraction for e - 2.
(Formerly M1553)
26
2, 5, 55, 9999, 3620211523, 25838201785967533906, 3408847366605453091140558218322023440765 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

REFERENCES

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

LINKS

Table of n, a(n) for n=0..6.

Eric Weisstein's World of Mathematics, Egyptian Fraction

Index entries for sequences related to Egyptian fractions

FORMULA

a(n) = ceiling(1/(e - 2 - Sum_{j=0..n-1} 1/a(j))). - Jon E. Schoenfield, Dec 26 2014

EXAMPLE

e - 2 = 1/2 + 1/5 + 1/55 + 1/9999 + ... . - Jon E. Schoenfield, Dec 26 2014

MATHEMATICA

lst={}; k=N[E-2, 1000]; Do[s=Ceiling[1/k]; AppendTo[lst, s]; k=k-1/s, {n, 12}]; lst (* Vladimir Joseph Stephan Orlovsky, Nov 02 2009 *)

CROSSREFS

Sequence in context: A114029 A013171 A073422 * A254406 A260654 A042161

Adjacent sequences:  A006522 A006523 A006524 * A006526 A006527 A006528

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Herman P. Robinson

STATUS

approved

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Last modified March 25 01:30 EDT 2017. Contains 284036 sequences.