A058293 Continued fraction for square root of 2Pi.

2, 1, 1, 37, 4, 1, 1, 1, 1, 9, 1, 1, 2, 8, 6, 1, 2, 2, 1, 3, 1, 4, 1, 1, 32, 1, 1, 5, 1, 1, 55, 6, 1, 1, 3, 1, 3, 3, 1, 3, 1, 1, 3, 4, 2, 1, 5, 1, 1, 2, 1, 95, 3, 1, 8, 1, 1, 1, 3, 22, 1, 1, 2, 1, 1, 7, 4, 5, 1, 1, 1, 204, 6, 2, 16, 1, 4, 1, 21, 1, 1, 1, 93, 1, 1, 71, 1, 2, 1, 1, 1, 1, 1, 1, 25, 1, 2, 5

Offset: 0

Author

Robert G. Wilson v, Dec 07 2000

Keywords

• cofr
• nonn
• easy

Examples

			2.50662827463100050241576528... = 2 + 1/(1 + 1/(1 + 1/(37 + 1/(4 + ...)))). - _Harry J. Smith_, May 31 2009
		

Links

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

Crossrefs

Cf. A019727 Decimal expansion. - Harry J. Smith, May 31 2009

Programs

Mathematica

ContinuedFraction[ Sqrt[2Pi], 100 ]

PARI

contfrac(sqrt(2*Pi))

PARI

{ allocatemem(932245000); default(realprecision, 21000); x=contfrac(sqrt(2*Pi)); for (n=0, 20000, write("b058293.txt", n, " ", x[n+1])); } \\ Harry J. Smith, May 31 2009

Extensions

More terms from Jason Earls, Jul 03 2001