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A042104
Numerators of continued fraction convergents to sqrt(577).
3
24, 1153, 55368, 2658817, 127678584, 6131230849, 294426759336, 14138615678977, 678947979350232, 32603641624490113, 1565653745954875656, 75183983447458521601, 3610396859223963912504, 173374233226197726321793
OFFSET
0,1
FORMULA
a(n) = 48*a(n-1)+a(n-2)for n>1, a(0)=24, a(1)=1153. G.f.: (24+x)/(1-48*x-x^2). [Philippe Deléham, Nov 23 2008]
MATHEMATICA
Numerator[Convergents[Sqrt[577], 30]] (* Vincenzo Librandi, Nov 16 2013 *)
LinearRecurrence[{48, 1}, {24, 1153}, 20] (* Harvey P. Dale, Sep 02 2024 *)
CROSSREFS
Cf. A042105.
Sequence in context: A090675 A144618 A042107 * A069991 A035025 A074652
KEYWORD
nonn,cofr,frac,easy,less
AUTHOR
STATUS
approved