A051492 Continued fraction for Otter's rooted tree constant: lim_{n->inf} A000081(n+1)/A000081(n).

2, 1, 21, 1, 1, 1, 1, 5, 2, 1, 1, 2, 1, 13, 1, 3, 17, 1, 1, 6, 2, 1796, 1, 1, 2, 110, 41, 2, 3, 1, 7, 43, 11, 7, 15, 3, 3, 3, 2, 4, 1, 4, 2, 1, 35, 1, 1, 1, 2, 6, 1, 1, 1, 1, 4, 3, 2, 1, 17, 7, 1, 5, 2, 7, 1, 8, 3, 12, 1, 6, 2, 1, 1, 5, 2, 4, 3, 1, 17, 7, 30, 3, 1, 4, 1

Offset

0,1

References

S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 295-316.

Links

Table of n, a(n) for n=0..84.

S. R. Finch, Otter's Tree Enumeration Constants [Broken link]

S. R. Finch, Otter's Tree Enumeration Constants [Wayback Machine]

G. Xiao, Contfrac

Index entries for continued fractions for constants

Index entries for sequences related to trees

Index entries for sequences related to rooted trees

Example

2.95576528565199497...

Crossrefs

Cf. A000081, A051491 (decimal expansion).

Sequence in context: A013163 A191719 A009768 * A164827 A345760 A213976

Adjacent sequences: A051489 A051490 A051491 * A051493 A051494 A051495

Keyword

nonn,cofr

Author

N. J. A. Sloane

Extensions

Offset changed by Andrew Howroyd, Jul 04 2024

Status

approved