A161684 Continued fraction for Pi/(2*sqrt(2)).

1, 9, 31, 1, 1, 17, 2, 3, 3, 2, 3, 1, 1, 2, 2, 1, 4, 9, 1, 3, 1, 1, 3, 2, 3, 3, 2, 10, 7, 1, 5, 1, 9, 1, 13, 1, 1, 1, 1, 1, 4, 3, 4, 8, 1, 3, 7, 1, 15, 1, 3, 1, 3, 5, 2, 1, 1, 5, 1, 1, 5, 1, 3, 3, 2, 33, 1, 4, 3, 111, 3, 1, 3, 4, 1, 5, 1, 5, 31, 1, 8, 1, 2, 2, 1, 1, 12, 1, 5, 3, 2, 1, 1, 1, 1, 147, 3, 2, 3, 8

Offset

0,2

Links

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

Example

1.11072073453959156175397024... = 1 + 1/(9 + 1/(31 + 1/(1 + 1/(1 + ...))))

Mathematica

ContinuedFraction[Pi/(2Sqrt[2]), 100] (* Harvey P. Dale, Oct 22 2011 *)

Prog

(PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(Pi*sqrt(2)/4); for (n=0, 20000, write("b161684.txt", n, " ", x[n+1])); }

Crossrefs

Cf. A093954 Decimal expansion.

Sequence in context: A274998 A000440 A300643 * A294404 A298587 A054310

Adjacent sequences: A161681 A161682 A161683 * A161685 A161686 A161687

Keyword

nonn,cofr

Author

Harry J. Smith, Jun 17 2009

Status

approved