A191359 Continued fraction using the decimal digits of Pi.

2, 6, 1, 1, 8, 8, 2, 4, 9, 2, 6, 4, 0, 0, 7, 2, 5, 4, 2, 8, 8, 4, 9, 2, 7, 0, 1, 3, 5, 2, 7, 1, 6, 5, 0, 5, 5, 0, 7, 2, 4, 0, 9, 6, 2, 7, 5, 2, 4, 0, 1, 0, 8, 0, 6, 3, 3, 4, 9, 7, 9, 3, 4, 4, 0, 7, 1, 5, 7, 4, 0, 0, 8, 3

Offset

0,1

Links

Table of n, a(n) for n=0..73.

Formula

1/(3+1/(1+1/(4+1/(1+1/(5+1/(9+1/(2+1/(6+1/(5+1/(3+1/(5+1/(8+1/(9+1/(7+1/(9+1/(3+1/(2+1/...))))))))))))))))). [corrected by John M. Campbell, Aug 25 2011]

Equals 1/A094964. - R. J. Mathar, Jun 04 2011

Example

0.2611882.. = 1/3.82865....

Crossrefs

Cf. A000796, A094964.

Sequence in context: A204937 A126749 A024573 * A339766 A289203 A246505

Adjacent sequences: A191356 A191357 A191358 * A191360 A191361 A191362

Keyword

nonn,cons,base

Author

Fabrice Auzanneau, Jun 04 2011

Status

approved