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A041707 Denominators of continued fraction convergents to sqrt(373). 2
1, 3, 16, 83, 265, 10153, 30724, 163773, 849589, 2712540, 103926109, 314490867, 1676380444, 8696393087, 27765559705, 1063787661877, 3219128545336, 17159430388557, 89016280488121, 284208271852920, 10888930610899081, 32951000104550163, 175643931133649896 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 10236, 0, 0, 0, 0, 1).

FORMULA

G.f.: -(x^8 -3*x^7 +16*x^6 -83*x^5 +265*x^4 +83*x^3 +16*x^2 +3*x +1) / (x^10 +10236*x^5 -1). - Colin Barker, Nov 22 2013

a(n) = 10236*a(n-5) + a(n-10) for n>9. - Vincenzo Librandi, Dec 23 2013

MATHEMATICA

Denominator[Convergents[Sqrt[373], 30]] (* Vincenzo Librandi, Dec 23 2013 *)

PROG

(MAGMA) I:=[1, 3, 16, 83, 265, 10153, 30724, 163773, 849589, 2712540]; [n le 10 select I[n] else 10236*Self(n-5)+Self(n-10): n in [1..40]]; // Vincenzo Librandi, Dec 23 2013

CROSSREFS

Cf. A041706, A040353.

Sequence in context: A037780 A163012 A164100 * A037584 A030983 A069429

Adjacent sequences:  A041704 A041705 A041706 * A041708 A041709 A041710

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 22 2013

STATUS

approved

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Last modified September 21 04:10 EDT 2021. Contains 347596 sequences. (Running on oeis4.)