A028360 Continued fraction for (e + 1)/3.

1, 4, 5, 1, 1, 1, 20, 1, 1, 2, 1, 1, 32, 1, 1, 3, 1, 5, 4, 1, 5, 5, 1, 1, 56, 1, 1, 6, 1, 1, 68, 1, 1, 7, 1, 5, 8, 1, 5, 9, 1, 1, 92, 1, 1, 10, 1, 1, 104, 1, 1, 11, 1, 5, 12, 1, 5, 13, 1, 1, 128, 1, 1, 14, 1, 1, 140, 1, 1, 15, 1, 5, 16, 1, 5, 17, 1, 1, 164, 1, 1, 18, 1, 1, 176, 1, 1, 19, 1, 5, 20

Offset

0,2

Links

Harry J. Smith, Table of n, a(n) for n = 0..19999

D. S. Thakur, Patterns of Continued Fractions for the Analogues of e and Related Numbers in the Function Field Case, J. Number Theory, Vol. 66, pp. 129-147, 1997.

G. Xiao, Contfrac

Index entries for continued fractions for constants

Example

1.239427276153015078453429157... = 1 + 1/(4 + 1/(5 + 1/(1 + 1/(1 + ...)))). - Harry J. Smith, May 14 2009

Mathematica

ContinuedFraction[(E+1)/3, 100] (* Harvey P. Dale, Sep 09 2017 *)

Prog

(PARI) { allocatemem(932245000); default(realprecision, 54000); x=contfrac((exp(1)+1)/3); for (n=1, 20000, write("b028360.txt", n-1, " ", x[n])); } \\ Harry J. Smith, May 14 2009

Crossrefs

Cf. A160388 (decimal expansion).

Sequence in context: A113950 A269944 A121906 * A010301 A335862 A200385

Adjacent sequences: A028357 A028358 A028359 * A028361 A028362 A028363

Keyword

cofr,nonn

Author

N. J. A. Sloane

Extensions

More terms from James A. Sellers

Offset changed by Andrew Howroyd, Aug 07 2024

Status

approved