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

Author

Benoit Cloitre, Mar 17 2003

Keywords

• nonn
• base

Examples

			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.