A159823 Continued fraction for phi*e A094885, where phi = (1 + sqrt(5))/2.

4, 2, 1, 1, 22, 1, 1, 4, 5, 2, 2, 1, 1, 15, 1, 12, 2, 2, 6, 10, 6, 1, 11, 3, 1, 3, 33, 1, 1, 1, 2, 2, 1, 4, 1, 2, 3, 3, 8, 1, 1, 1, 1, 2, 1, 3, 32, 3, 1, 1, 2, 2, 1, 5, 10, 1, 1, 1, 2, 2, 1, 1, 1, 4, 2, 2, 20, 2, 1, 2, 1, 1, 3, 1, 1, 2, 5, 1, 9, 1, 23, 1, 291, 1, 3, 2, 9, 7, 1, 1, 3, 10, 5, 2, 1, 13, 3, 7

Offset

0,1

Links

Harry J. Smith, Table of n, a(n) for n = 0..20000

Example

phi*e = 4.398272389447946395... = 4 + 1/(2 + 1/(1 + 1/(1 + 1/(22 + ...)))).

Mathematica

ContinuedFraction[E*GoldenRatio, 100] (* G. C. Greubel, May 19 2018 *)

Prog

(PARI) { allocatemem(932245000); default(realprecision, 21000); phi=(1+sqrt(5))/2; x=contfrac(phi*exp(1)); for (n=1, 20001, write("b159823.txt", n-1, " ", x[n])); }
(Magma) ContinuedFraction((1+Sqrt(5))*Exp(1)/2) // G. C. Greubel, May 19 2018

Crossrefs

Sequence in context: A277646 A337271 A010313 * A075826 A085245 A327694

Adjacent sequences: A159820 A159821 A159822 * A159824 A159825 A159826

Keyword

nonn,cofr

Author

Harry J. Smith, Apr 27 2009

Status

approved