A078688 Continued fraction expansion of e^(1/4).

1, 3, 1, 1, 11, 1, 1, 19, 1, 1, 27, 1, 1, 35, 1, 1, 43, 1, 1, 51, 1, 1, 59, 1, 1, 67, 1, 1, 75, 1, 1, 83, 1, 1, 91, 1, 1, 99, 1, 1, 107, 1, 1, 115, 1, 1, 123, 1, 1, 131, 1, 1, 139, 1, 1, 147, 1, 1, 155, 1, 1, 163, 1, 1, 171, 1, 1, 179, 1, 1, 187

Offset: 0

Author

Benoit Cloitre, Dec 17 2002

Keywords

• cofr
• nonn

Links

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

Crossrefs

Cf. A017101, A058281.

Programs

Mathematica

ContinuedFraction[E^(1/4),80] (* Harvey P. Dale, Nov 19 2011 *)

Formula

a(4k+2) = 8k+3, otherwise a(i) = 1.

G.f.: (6x^4+2x)/(1-x^3)^2+1/(1-x). - Ralf Stephan, Mar 13 2003