A080235 Number of terms in the continued fraction for (Pi truncated to n decimal digits).

1, 2, 3, 6, 6, 8, 7, 11, 12, 13, 14, 21, 21, 23, 29, 28, 26, 31, 37, 36, 36, 42, 45, 48, 51, 47, 50, 53, 53, 62, 57, 55, 55, 68, 69, 52, 63, 66, 71, 79, 63, 66, 78, 90, 83, 82, 78, 85, 80, 91, 91, 90, 92, 93, 93, 107, 110, 103, 119, 120, 113, 115, 118, 121, 125, 125, 130, 135

Offset

0,2

Links

Table of n, a(n) for n=0..67.

Example

Pi truncated to 4 decimal places gives 3.1415 . The continued fraction for 3.1415 is [3, 7, 14, 1, 8, 2] which contains 6 terms, hence a(3)=6.

Crossrefs

Cf. A065019.

Sequence in context: A362706 A220178 A023832 * A198516 A187326 A056907

Adjacent sequences: A080232 A080233 A080234 * A080236 A080237 A080238

Keyword

nonn,base

Author

Benoit Cloitre, Mar 17 2003

Status

approved