A062978 Continued fraction for Pi * (1 + sqrt 5)/2.

5, 12, 53, 2, 14, 1, 1, 4, 2, 5, 11, 1, 2, 3, 5, 2, 4, 2, 1, 1, 2, 2, 4, 1, 3, 4, 1, 1, 2, 1, 1, 1, 3, 3, 162, 1, 1, 2, 3641, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 66, 1, 18, 1, 1, 10, 2, 4, 36, 1, 4, 3, 1, 1, 3, 4, 1, 1, 2, 1, 1, 14, 3, 1, 2, 2, 1, 9, 28, 1, 1, 1, 1, 3, 15, 1, 1, 2, 11, 1, 1, 1, 3, 1

Offset: 0

Author

Jason Earls, Jul 24 2001

Keywords

• cofr
• easy
• nonn

Examples

			phi*Pi = 5.083203692315259... = 5 + 1/(12 + 1/(53 + 1/(2 + 1/(14 + ...)))). - _Harry J. Smith_, Apr 27 2009
		

Links

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

Crossrefs

Cf. A094886 (phi*Pi).

Programs

Mathematica

ContinuedFraction[Pi*GoldenRatio, 100] (* Harvey P. Dale, Mar 29 2023 *)

PARI

contfrac(Pi * (1+sqrt(5))/2)

PARI

{ allocatemem(932245000); default(realprecision, 21000); phi=(1+sqrt(5))/2; x=contfrac(phi*Pi); for (n=1, 20000, write("b062978.txt", n-1, " ", x[n])); } \\ Harry J. Smith, Apr 27 2009

Extensions

Name changed by David A. Corneth, Jun 28 2018

Offset changed by Andrew Howroyd, Aug 04 2024