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A041659 Denominators of continued fraction convergents to sqrt(348). 2
1, 1, 2, 3, 26, 29, 55, 84, 3079, 3163, 6242, 9405, 81482, 90887, 172369, 263256, 9649585, 9912841, 19562426, 29475267, 255364562, 284839829, 540204391, 825044220, 30241796311, 31066840531, 61308636842, 92375477373, 800312455826, 892687933199 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

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, 0, 0, 0, 3134, 0, 0, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^2-x-1)*(x^4+3*x^2+1)*(x^8+28*x^4+1) / ((x^8-56*x^4+1)*(x^8+56*x^4+1)). - Colin Barker, Nov 21 2013

a(n) = 3134*a(n-8) - a(n-16) for n>15. - Vincenzo Librandi, Dec 22 2013

MATHEMATICA

Denominator[Convergents[Sqrt[348], 30]] (* Vincenzo Librandi, Dec 22 2013 *)

PROG

(MAGMA) I:=[1, 1, 2, 3, 26, 29, 55, 84, 3079, 3163, 6242, 9405, 81482, 90887, 172369, 263256]; [n le 16 select I[n] else 3134*Self(n-8)-Self(n-16): n in [1..40]]; // Vincenzo Librandi, Dec 22 2013

CROSSREFS

Cf. A041658, A040329.

Sequence in context: A056004 A032812 A099006 * A042043 A178196 A258766

Adjacent sequences:  A041656 A041657 A041658 * A041660 A041661 A041662

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Colin Barker, Nov 21 2013

STATUS

approved

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Last modified June 19 05:17 EDT 2019. Contains 324217 sequences. (Running on oeis4.)