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

Author

N. J. A. Sloane

Keywords

• nonn
• cofr

Examples

			2.95576528565199497...
		

References

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

Links

• 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

Crossrefs

Cf. A000081, A051491 (decimal expansion).

Extensions

Offset changed by Andrew Howroyd, Jul 04 2024