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A076658 Numerator of f(n), where for n>2, f(n)=(n-1)/f(n-1)+(n-2)/f(n-2), with f(1)=1, f(2)=2. 1
1, 2, 2, 5, 31, 498, 8955, 2882938, 52586050459, 323804423976901335, 15495775772522155664701173463, 4775184376703288469595772730789093950647769107, 365485679191762741290548194655325571866478457308489227548407339087759232157 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

f(n)-> Sqrt[2n], a slowly converging sequence.

The next term in the sequence (a(14)) has 120 digits.  [From Harvey P. Dale, Nov 29 2011]

LINKS

Table of n, a(n) for n=1..13.

EXAMPLE

f(3)=2/f(2)+1/f(1)=2/2+1/1=2/1, therefore in the sequence, 3rd term is 2.

MATHEMATICA

Numerator[RecurrenceTable[{a[1]==1, a[2]==2, a[n]==(n-1)/a[n-1]+(n-2)/ a[n-2]}, a, {n, 13}]] (* Harvey P. Dale, Nov 29 2011 *)

PROG

(Maxima)

a[1]:1$

a[2]:2$

a[n]:=(n-1)/a[n-1]+(n-2)/a[n-2];

makelist(ratnumer(a[n]), n, 1, 15); /* Martin Ettl, Oct 30 2012*/

CROSSREFS

Cf. A076659.

Sequence in context: A259861 A293264 A265777 * A218270 A218122 A282706

Adjacent sequences:  A076655 A076656 A076657 * A076659 A076660 A076661

KEYWORD

nonn,frac

AUTHOR

Zak Seidov, Oct 24 2002

EXTENSIONS

One more term from Harvey P. Dale, Nov. 29 2011

STATUS

approved

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Last modified September 21 19:39 EDT 2019. Contains 327279 sequences. (Running on oeis4.)