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A094871 Let 2/(2n+1) = 1/i + 1/j + 1/k + ... with i < j < k < ... be the ancient Egyptian way of writing this fraction; sequence gives value of i. 0
2, 3, 4, 6, 6, 8, 10, 12, 12, 14, 12, 15, 18, 24, 20, 22, 30, 24, 26, 24, 42, 30, 30, 28, 34, 30, 30, 38, 36, 40, 42, 39, 40, 46, 40, 60, 50, 44, 60, 54, 60, 51, 58, 60, 70, 62, 60, 56, 66 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The rules for constructing this "Egyptian fraction" are quite involved - see for example the Brown link.

REFERENCES

Ahmes, circa 1650 BC (The Rhind Mathematical Papyrus in British Museum).

LINKS

Table of n, a(n) for n=1..49.

K. S. Brown, The Rhind Papyrus 2/N Table

Ron Knott, Egyptian Fractions

S. C. Williams, The Best Egyptian Fractions

EXAMPLE

2/3 = 1/2+1/6, 2/5 = 1/3+1/15, 2/7 = 1/4+1/28, 2/9 = 1/6+1/18, 2/11 = 1/6+1/66, 2/13 = 1/8+1/52+1/104, ...

CROSSREFS

Sequence in context: A239492 A034298 A092404 * A157450 A195013 A079667

Adjacent sequences:  A094868 A094869 A094870 * A094872 A094873 A094874

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, based on a suggestion from Ed Pegg Jr, Jun 21 2004

STATUS

approved

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Last modified March 19 23:02 EDT 2019. Contains 321343 sequences. (Running on oeis4.)