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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. - 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, so a(3) = 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 July 14 05:06 EDT 2024. Contains 374291 sequences. (Running on oeis4.)