A159820 Continued fraction for e*Pi*phi A131563, where phi = (1 + sqrt(5))/2.

13, 1, 4, 2, 13, 3, 1, 1, 7, 3, 30, 1, 7, 1, 1, 40, 2, 6, 2, 1, 35, 4, 1, 3, 3, 1, 3, 3, 8, 1, 1, 4, 3, 5, 7, 1, 1, 1, 1, 2, 1, 2, 2, 1, 188, 3, 2, 1, 7, 1, 1, 13, 1, 7, 28, 2, 2, 47, 31, 1, 1, 1, 5, 3, 1, 7, 2, 3, 1, 3, 2, 1, 3, 4, 4, 2, 1, 1, 3, 1, 1, 1, 3, 4, 1, 19, 225, 1, 1, 16, 1, 1, 1, 1, 11, 4, 3, 1

Offset

0,1

Links

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

Example

e*Pi*phi = 13.8175802271764... = 13 + 1/(1 + 1/(4 + 1/(2 + 1/(13 + ...)))).

Mathematica

ContinuedFraction[E Pi GoldenRatio, 100] (* Harvey P. Dale, Aug 09 2016 *)

Prog

(PARI) { allocatemem(932245000); default(realprecision, 21000); phi = (1 + sqrt(5))/2; x=contfrac(exp(1)*Pi*phi); for (n=1, 20001, write("b159820.txt", n-1, " ", x[n])); }

Crossrefs

Sequence in context: A089568 A010232 A010233 * A116993 A010234 A111738

Adjacent sequences: A159817 A159818 A159819 * A159821 A159822 A159823

Keyword

nonn

Author

Harry J. Smith, Apr 26 2009

Status

approved