A058280 Continued fraction for square root of Pi.

1, 1, 3, 2, 1, 1, 6, 1, 28, 13, 1, 1, 2, 18, 1, 1, 1, 83, 1, 4, 1, 2, 4, 1, 288, 1, 90, 1, 12, 1, 1, 7, 1, 3, 1, 6, 1, 2, 71, 9, 3, 1, 5, 36, 1, 2, 2, 1, 1, 1, 2, 5, 9, 8, 1, 7, 1, 2, 2, 1, 63, 1, 4, 3, 1, 6, 1, 1, 1, 5, 1, 9, 2, 5, 4, 1, 2, 1, 1, 2, 20, 1, 1, 2, 1, 10, 5, 2, 1, 100, 11, 1, 9, 1, 2, 1

Offset: 0

Author

Robert G. Wilson v, Dec 07 2000

Keywords

• cofr
• nonn
• easy

Comments

sqrt(Pi) = 1.7724538509055160272981674833411451827975494561223871282138... - Harry J. Smith, May 01 2009

Examples

			sqrt(Pi) = 1 + 1/(1 + 1/(3 + 1/(2 + 1/(1 + ...)))). - _Harry J. Smith_, May 01 2009
		

Links

• Harry J. Smith, Table of n, a(n) for n = 0..20000
• G. Xiao, Contfrac
• Index entries for continued fractions for constants

Programs

Mathematica

ContinuedFraction[ Sqrt[Pi], 100]

PARI

{ allocatemem(932245000); default(realprecision, 21000); x=contfrac(sqrt(Pi)); for (n=1, 20001, write("b058280.txt", n-1, " ", x[n])); } \\ Harry J. Smith, May 01 2009

Extensions

More terms from Harvey P. Dale, Dec 29 2000