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A042104 Numerators of continued fraction convergents to sqrt(577). 2
24, 1153, 55368, 2658817, 127678584, 6131230849, 294426759336, 14138615678977, 678947979350232, 32603641624490113, 1565653745954875656, 75183983447458521601, 3610396859223963912504, 173374233226197726321793 (list; graph; refs; listen; history; text; internal format)
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]

a(n) = 12*((24-sqrt(577))^n+(24+sqrt(577))^n)+(1/2)*sqrt(577)*((24+sqrt(577))^n-(24-sqrt(577))^n). [Paolo P. Lava, Nov 28 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

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Last modified April 30 12:32 EDT 2017. Contains 285668 sequences.