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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... 0
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 (list; graph; refs; listen; history; internal format)
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...

EXAMPLE

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

CROSSREFS

Sequence in context: A053193 A010273 A046143 * A116407 A135288 A078026

Adjacent sequences:  A071809 A071810 A071811 * A071813 A071814 A071815

KEYWORD

cofr,easy,nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Jun 07 2002

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Last modified February 15 21:27 EST 2012. Contains 205859 sequences.