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A163261 Numerators of fractions in the approximation of the square root of 2 by means of: a(n)= 3a(n-1)/(a(n-1)^2+1); with a(1)= 1 1
1, 3, 18, 702, 1038258, 2292015792222 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

For root c: a(n)=(1+c)a(n-1)/(a(n-1)^2+1)

LINKS

Table of n, a(n) for n=1..6.

FORMULA

A163261(n+1)=3*A163261(n)*A163262(n)- From Philippe Deléham, Oct 11 2011.

CROSSREFS

A163262

Sequence in context: A304780 A265468 A070953 * A064846 A157544 A202946

Adjacent sequences:  A163258 A163259 A163260 * A163262 A163263 A163264

KEYWORD

nonn

AUTHOR

Mark Dols, Jul 23 2009

STATUS

approved

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Last modified February 19 16:38 EST 2019. Contains 320311 sequences. (Running on oeis4.)