A069951 Continued fraction expansion of the number e^(2/3).

1, 1, 18, 7, 1, 1, 10, 54, 16, 1, 1, 19, 90, 25, 1, 1, 28, 126, 34, 1, 1, 37, 162, 43, 1, 1, 46, 198, 52, 1, 1, 55, 234, 61, 1, 1, 64, 270, 70, 1, 1, 73, 306, 79, 1, 1, 82, 342, 88, 1, 1, 91, 378, 97, 1, 1, 100, 414, 106, 1, 1, 109, 450, 115, 1, 1, 118, 486, 124, 1, 1, 127, 522

Offset: 0

Author

Elena Andres Sierra (aeroplane27(AT)hotmail.com), Apr 27 2002

Keywords

• nonn
• cofr
• easy

Comments

e^(2/3) = 1.9477340410546758566390...

Links

• G. Xiao, Contfrac
• K. Matthews, Finding the continued fraction of e^(l/m)

Programs

Mathematica

ContinuedFraction[ E^(2/3), 100]

Formula

If k>0 a(5k)=a(5k+1)=1, a(5k+2)=9k+1, a(5k+3)=36k+18, a(5k+4)=9k+7. - Benoit Cloitre, May 04 2002

Extensions

Edited and extended by Robert G. Wilson v and Benoit Cloitre, May 04 2002