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A051491 Decimal expansion of Otter's rooted tree constant: lim_{n->inf} A000081(n+1)/A000081(n). 8
2, 9, 5, 5, 7, 6, 5, 2, 8, 5, 6, 5, 1, 9, 9, 4, 9, 7, 4, 7, 1, 4, 8, 1, 7, 5, 2, 4, 1, 2, 3, 1, 9, 4, 5, 8, 8, 3, 7, 5, 4, 9, 2, 3, 0, 4, 6, 6, 3, 5, 9, 6, 5, 9, 5, 3, 5, 0, 4, 7, 2, 4, 7, 8, 9, 0, 5, 9, 6, 4, 7, 3, 3, 1, 3, 9, 5, 7, 4, 9, 5, 1, 0, 8, 6, 6, 6, 8, 2, 8, 3, 6, 7, 6, 5, 8, 1, 3, 5 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

A000055(n) ~ A086308 * A051491^n * n^(-5/2), A000081(n) ~ A187770 * A051491^n * n^(-3/2). - Vaclav Kotesovec, Jan 04 2013

Analytic Combinatorics (Flajolet and Sedgewick, 2009, p. 481) has a wrong value of this constant (2.9955765856). - Vaclav Kotesovec, Jan 04 2013

REFERENCES

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

LINKS

Table of n, a(n) for n=1..99.

S. R. Finch, Otter's Tree Enumeration Constants

P. Flajolet and R. Sedgewick, Analytic Combinatorics, 2009, p. 481

Simon Plouffe, Tree-growth constant to 1800 digits

Eric Weisstein's World of Mathematics, Rooted Tree

Eric Weisstein's World of Mathematics, Tree

Index entries for sequences related to trees

Index entries for sequences related to rooted trees

EXAMPLE

2.95576528565199497...

CROSSREFS

Cf. A000081, A051492, A187770, A000055, A086308.

Sequence in context: A019708 A201397 A077124 * A171052 A021342 A069857

Adjacent sequences:  A051488 A051489 A051490 * A051492 A051493 A051494

KEYWORD

nonn,nice,cons,changed

AUTHOR

David Broadhurst

STATUS

approved

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Last modified April 19 02:56 EDT 2014. Contains 240737 sequences.