A042104 Numerators of continued fraction convergents to sqrt(577).

24, 1153, 55368, 2658817, 127678584, 6131230849, 294426759336, 14138615678977, 678947979350232, 32603641624490113, 1565653745954875656, 75183983447458521601, 3610396859223963912504, 173374233226197726321793

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Tanya Khovanova, Recursive Sequences

Index entries for linear recurrences with constant coefficients, signature (48, 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 *)

Crossrefs

Cf. A042105.

Sequence in context: A090675 A144618 A042107 * A069991 A035025 A074652

Adjacent sequences: A042101 A042102 A042103 * A042105 A042106 A042107

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Status

approved