A087041 Partial quotients of the continued fraction of a number x such that Pi added to each partial quotient evaluates to x+3.

0, 3, 2, 1, 26, 1, 2, 10, 1, 2, 1, 31, 1, 1, 1, 2, 4, 4, 1, 1, 1, 1, 1, 4, 3, 2, 1, 5, 3, 4, 1, 5, 1, 1, 5, 1, 2, 2, 3, 2, 1, 1, 11, 2, 1, 1, 3, 1, 14, 1, 7, 2, 1, 1, 1, 1, 1, 3, 1, 23, 1, 9, 1, 6, 2, 1, 1, 26, 3, 3, 8, 1, 5, 2, 1, 12, 2, 3, 2, 2, 7, 1, 1, 2, 6, 1, 53, 1, 1, 10, 1, 21, 16, 6, 1, 1, 3, 2, 2

Offset

0,2

Comments

x=0.299634725792984934678119742255150066764714688418375868896757325993501389962

Links

Table of n, a(n) for n=0..98.

Example

[0+Pi; 3+Pi, 2+Pi, 1+Pi, 26+Pi, 1+Pi, 2+Pi, 10+Pi, 1+Pi, 2+Pi, ...]
= [3; 3, 2, 1, 26, 1, 2, 10, 1, 2, 1, 31, 1, ...] = x+3.

Crossrefs

Cf. A087042.

Sequence in context: A117265 A107727 A346743 * A357675 A152790 A247602

Adjacent sequences: A087038 A087039 A087040 * A087042 A087043 A087044

Keyword

cofr,nonn

Author

Paul D. Hanna, Aug 02 2003

Status

approved