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A081089
Ratios of the terms of A081088: 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
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.
FORMULA
a(n) = A081090(n)^2 + 1.
EXAMPLE
a(4) = A081088(5)/A081088(4) = 703300/260 = 2705.
CROSSREFS
KEYWORD
nonn
AUTHOR
Hans Havermann and Paul D. Hanna, Mar 05 2003
STATUS
approved