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A086317 Decimal expansion of asymptotic constant xi for counts of weakly binary trees. 8
2, 4, 8, 3, 2, 5, 3, 5, 3, 6, 1, 7, 2, 6, 3, 6, 8, 5, 8, 5, 6, 2, 2, 8, 8, 5, 1, 8, 1, 7, 8, 2, 2, 1, 2, 8, 9, 1, 8, 8, 6, 9, 7, 3, 4, 0, 8, 1, 4, 3, 6, 4, 5, 8, 5, 9, 2, 0, 2, 5, 9, 6, 9, 7, 3, 0, 6, 7, 4, 2, 5, 4, 0, 8, 8, 5, 8, 0, 9, 8, 3, 9, 0, 6, 4, 7, 6, 4, 0, 1, 6, 9, 1, 6, 7, 2, 1, 8, 2, 7, 4, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Eric Weisstein's World of Mathematics, Weakly binary tree

FORMULA

1/A240943.

Equals lim n -> infinity A001190(n)^(1/n). - Vaclav Kotesovec, Jul 28 2014

EXAMPLE

2.48325353617263685856228851817822128918869734...

MATHEMATICA

digits = 102; c[0] = 2; c[n_] := c[n] = c[n - 1]^2 + 2; xi[n_Integer] := xi[n] = c[n]^(2^-n); xi[5]; xi[n = 10]; While[RealDigits[xi[n], 10, digits] != RealDigits[xi[n - 5], 10, digits], n = n + 5]; RealDigits[xi[n], 10, digits] // First (* Jean-François Alcover, May 27 2014 *)

CROSSREFS

Cf. A001190, A086318, A240943.

Cf. A000672, A003214.

Sequence in context: A167203 A263410 A285334 * A110217 A243062 A232645

Adjacent sequences:  A086314 A086315 A086316 * A086318 A086319 A086320

KEYWORD

nonn,cons

AUTHOR

Eric W. Weisstein, Jul 15 2003

EXTENSIONS

Typos corrected by Jean-François Alcover, May 27 2014

STATUS

approved

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Last modified September 24 04:14 EDT 2017. Contains 292402 sequences.