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A080235
Number of terms in the continued fraction for (Pi truncated to n decimal digits).
1
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
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
KEYWORD
nonn,base
AUTHOR
Benoit Cloitre, Mar 17 2003
STATUS
approved