A053011 Decimal expansion of the real number whose continued fraction is defined by the property that the k-th partial quotient is the period of the continued fraction for sqrt(k).

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

Offset

0,1

Comments

The continued fraction above is [0, 1, 2, 0, 1, 2, 4, 2, 0, 1, ... ] = A003285. - Sean A. Irvine, Dec 02 2021

Links

Table of n, a(n) for n=0..99.

Example

0.775172076722345....

Crossrefs

Cf. A003285.

Sequence in context: A081824 A199083 A109939 * A021133 A354238 A336078

Adjacent sequences: A053008 A053009 A053010 * A053012 A053013 A053014

Keyword

cons,nonn

Author

Justin T. Miller (miller(AT)u.arizona.edu), Feb 22 2000

Extensions

Offset corrected by R. J. Mathar, Feb 05 2009

a(98)-a(99) corrected by Sean A. Irvine, Dec 02 2021

Status

approved