A092234 Continued fraction expansion of a constant x with the property that when x is added to each of these partial quotients, the resulting continued fraction has a value of 1.

0, 1, 1, 7, 2, 3, 5, 2, 1, 3, 2, 3, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 33, 12, 3, 1, 2, 3, 1, 4, 37, 1, 1, 5, 1, 25, 7, 4, 1, 1, 1, 1, 3, 1, 3, 2, 3, 1, 9, 2, 1, 3, 1, 3, 5, 2, 79, 7, 1, 1, 5, 3, 1, 10, 1, 1, 4, 2, 3, 3, 2, 1, 6, 1, 1, 5, 1, 98, 2, 3, 1, 2, 1, 11, 1, 14, 7, 16, 2, 1, 1, 9, 8, 2, 1, 1, 21, 1, 1, 1

Offset

0,4

Comments

More digits of the constant are given in A092235.

Links

Table of n, a(n) for n=0..100.

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,...],
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,...]
and x = 0.5315171631818225401132541492731882228882199444466...

Crossrefs

Cf. A092235.

Sequence in context: A163333 A116369 A155751 * A160101 A210975 A242671

Adjacent sequences: A092231 A092232 A092233 * A092235 A092236 A092237

Keyword

cofr,nonn

Author

Paul D. Hanna, Feb 26 2004

Status

approved