A071812 Continued fraction expansion of a constant x where each term is determined by a(n) = floor(1/frac(n*x)), where x=0.283151006074509519...

3, 1, 1, 7, 2, 1, 1, 3, 1, 1, 8, 2, 1, 1, 4, 1, 1, 10, 2, 1, 1, 4, 1, 1, 12, 2, 1, 1, 4, 2, 1, 16, 2, 1, 1, 5, 2, 1, 23, 3, 1, 1, 5, 2, 1, 40, 3, 1, 1, 6, 2, 1, 142, 3, 1, 1, 7, 2, 1, 1, 3, 1, 1, 8, 2, 1, 1, 3, 1, 1, 9, 2, 1, 1, 4, 1, 1, 11, 2, 1, 1, 4, 1, 1, 14, 2, 1, 1, 4, 2, 1, 20, 3, 1, 1, 5, 2, 1, 31

Offset

0,1

Comments

This describes the largest constant whose continued fraction is determined by the given self-referential term-by-term formula. The next smaller such constant is 0.227531347569898928...

Links

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

Example

x=0.283151006074509519; a(1000) = 6 since floor(1/frac(1000*x)) = floor(1/.1510060745) = 6.

Crossrefs

Sequence in context: A046143 A228035 A332538 * A248133 A177992 A346906

Adjacent sequences: A071809 A071810 A071811 * A071813 A071814 A071815

Keyword

cofr,easy,nonn

Author

Paul D. Hanna, Jun 07 2002

Status

approved