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A076658
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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.
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1
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1, 2, 2, 5, 31, 498, 8955, 2882938, 52586050459, 323804423976901335, 15495775772522155664701173463, 4775184376703288469595772730789093950647769107, 365485679191762741290548194655325571866478457308489227548407339087759232157
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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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]
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EXAMPLE
| f(3)=2/f(2)+1/f(1)=2/2+1/1=2/1, therefore in the sequence, 3rd term is 2.
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MATHEMATICA
| Numerator[RecurrenceTable[{a[1]==1, a[2]==2, a[n]==(n-1)/a[n-1]+(n-2)/ a[n-2]}, a, {n, 13}]] (* From Harvey P. Dale, Nov 29 2011 *)
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CROSSREFS
| Cf. A076659.
Sequence in context: A154647 A103890 A014566 * A020549 A196128 A114715
Adjacent sequences: A076655 A076656 A076657 * A076659 A076660 A076661
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KEYWORD
| nonn,frac
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AUTHOR
| Zak Seidov (zakseidov(AT)yahoo.com), Oct 24 2002
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EXTENSIONS
| One more term from Harvey P. Dale, Nov. 29 2011
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