A092235 Decimal expansion of a constant x with the property that when x is added to each of the partial quotients of the continued fraction of x, the resulting continued fraction has a value of 1.

5, 3, 1, 5, 1, 7, 1, 6, 3, 1, 8, 1, 8, 2, 2, 5, 4, 0, 1, 1, 3, 2, 5, 4, 1, 4, 9, 2, 7, 3, 1, 8, 8, 2, 2, 2, 8, 8, 8, 2, 1, 9, 9, 4, 4, 4, 4, 6, 6, 1, 2, 2, 3, 0, 3, 1, 6, 9, 8, 6, 6, 1, 6, 5, 6, 4, 7, 9, 0, 9, 5, 2, 4, 9, 3, 0, 0, 7, 6, 8, 6, 7, 7, 0, 3, 0, 3, 6, 7, 5, 2, 6, 3, 9, 9, 4, 1, 7, 1, 3, 1, 8, 5, 7, 0

Offset

0,1

Comments

The continued fraction expansion of the constant is given by A092234.

Links

Table of n, a(n) for n=0..104.

Example

Given x = [0;1,1,7,2,3,5,2,1,3,2,3,1,1,1,1,1,2,1,2,1,1,2,...](A092234),
then 1 = [0+x;1+x,1+x,7+x,2+x,3+x,5+x,2+x,1+x,3+x,2+x,3+x,...]
where x = 0.53151716318182254011325414927318822288821994444661223031698661656479095249300768677030367526399417131857061006611...

Crossrefs

Cf. A092234.

Sequence in context: A021657 A154180 A011332 * A130794 A242908 A023578

Adjacent sequences: A092232 A092233 A092234 * A092236 A092237 A092238

Keyword

cons,nonn

Author

Paul D. Hanna, Feb 26 2004

Status

approved