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.

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

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: A034298 A308162 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