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A338294 Decimal expansion of the growth power of the number of matchings in the complete binary tree. 2
1, 5, 3, 7, 1, 7, 6, 7, 1, 7, 1, 8, 2, 3, 5, 7, 9, 4, 9, 5, 9, 0, 1, 4, 0, 3, 2, 8, 9, 5, 5, 2, 2, 1, 6, 0, 2, 5, 0, 1, 5, 0, 8, 0, 9, 3, 4, 3, 2, 3, 6, 1, 7, 3, 2, 6, 5, 1, 0, 2, 0, 0, 2, 9, 5, 0, 1, 4, 0, 0, 8, 8, 2, 7, 0, 8, 8, 8, 1, 1, 2, 4, 3, 5, 3, 2, 9 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
The number of matchings in the complete binary tree of n rows is A338293(n). It grows as A338293(n) ~ (1/2)*C^(2^n) where C is the present constant. See A338293 on how log(C) = A242049 follows from the number of matchings as a product of Jacobsthal numbers.
LINKS
Kevin Ryde, vpar examples/complete-binary-matchings.gp calculations and code in PARI/GP.
FORMULA
Equals exp(A242049).
Equals lim_{n->oo} A338293(n)^(1/2^n).
EXAMPLE
1.537176717...
CROSSREFS
Sequence in context: A371847 A097907 A198749 * A066253 A065169 A247617
KEYWORD
nonn,cons
AUTHOR
Kevin Ryde, Oct 21 2020
STATUS
approved

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Last modified June 24 02:53 EDT 2024. Contains 373661 sequences. (Running on oeis4.)