A069951 - OEIS

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

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OFFSET

0,3

COMMENTS

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

LINKS

Table of n, a(n) for n=0..72.

G. Xiao, Contfrac

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

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

MATHEMATICA