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A081089 Ratios of the terms ofA081088:a(n) =A081088(n+1)/A081088(n); involves the partial quotients of a series of continued fractions that sum to unity. 4
1, 5, 26, 2705, 182925626, 90480665686818032705, 1497566518357295341574859610364164525225308765626, 202921484489818231618925783073836307197468903511468883565202877543941162929513969280065556186031618952557010685032705 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
log(a(n+1))/log(a(n)) --> 1+sqrt(2). The 7th term has 49 digits, while the 8th term has 117 digits.
LINKS
FORMULA
a(n) =A081090(n)^2 + 1.
EXAMPLE
a(4) =A081088(5)/A081088(4) = 703300/260 = 2705.
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved

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Last modified September 15 16:35 EDT 2024. Contains 375938 sequences. (Running on oeis4.)