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A041701 Denominators of continued fraction convergents to sqrt(370). 2
1, 4, 17, 650, 2617, 11118, 425101, 1711522, 7271189, 278016704, 1119338005, 4755368724, 181823349517, 732048766792, 3110018416685, 118912748600822, 478761012819973, 2033956799880714, 77769119408287105, 313110434433029134, 1330210857140403641 (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 (0,0,654,0,0,1).

FORMULA

G.f.: -(x^4-4*x^3+17*x^2+4*x+1) / (x^6+654*x^3-1). - Colin Barker, Nov 22 2013

a(n) = 654*a(n-3) + a(n-6) for n>5. - Vincenzo Librandi, Dec 23 2013

MATHEMATICA

Denominator[Convergents[Sqrt[370], 20]] (* Harvey P. Dale, Nov 01 2011 *)

CoefficientList[Series[-(x^4 - 4 x^3 + 17 x^2 + 4 x + 1)/(x^6 + 654 x^3 - 1), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 23 2013 *)

PROG

(MAGMA) I:=[1, 4, 17, 650, 2617, 11118]; [n le 6 select I[n] else 654*Self(n-3)+Self(n-6): n in [1..40]]; // Vincenzo Librandi, Dec 23 2013

CROSSREFS

Cf. A041700, A040350.

Sequence in context: A015489 A153061 A277762 * A154131 A132554 A077275

Adjacent sequences:  A041698 A041699 A041700 * A041702 A041703 A041704

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 January 17 19:58 EST 2019. Contains 319251 sequences. (Running on oeis4.)