A159821 Continued fraction for (e*Pi*phi)^2 A131566, where phi = (1 + sqrt(5))/2.

190, 1, 12, 2, 2, 1, 12, 2, 10, 2, 1, 16, 1, 226, 2, 1, 2, 1, 2, 2, 1, 1, 9, 3, 7, 1, 1, 1, 2, 1, 1, 1, 6, 2, 2, 494, 1, 1, 60, 194, 2, 1, 2, 1, 4, 1, 1, 7, 1, 4, 7, 1, 1, 1, 5, 4, 2, 5, 2, 1, 4, 4, 1, 7, 1, 16, 4, 1, 1, 4, 2, 1, 5283, 4, 11, 1, 2, 1, 3, 1, 1, 1, 5, 1, 1, 2, 3, 3, 1, 3, 5, 3, 1, 2, 1, 1, 1

Offset

0,1

Links

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

Example

(e*Pi*phi)^2 = 190.925523334... = 190 + 1/(1 + 1/(12 + 1/(2 + 1/(2 + ...)))).

Mathematica

ContinuedFraction[(E*Pi*GoldenRatio)^2, 100] (* Harvey P. Dale, Jan 15 2015 *)

Prog

(PARI) { allocatemem(932245000); default(realprecision, 21000); phi = (1 + sqrt(5))/2; x=contfrac((exp(1)*Pi*phi)^2); for (n=1, 20001, write("b159821.txt", n-1, " ", x[n])); }

Crossrefs

Sequence in context: A259166 A156741 A138730 * A118878 A036208 A119903

Adjacent sequences: A159818 A159819 A159820 * A159822 A159823 A159824

Keyword

nonn

Author

Harry J. Smith, Apr 26 2009

Status

approved