A042877 Denominators of continued fraction convergents to sqrt(970).

1, 6, 7, 69, 76, 145, 1381, 1526, 10537, 654820, 3939457, 4594277, 45287950, 49882227, 95170177, 906413820, 1001583997, 6915917802, 429788487721, 2585646844128, 3015435331849, 29724564830769, 32740000162618, 62464564993387, 594921085103101, 657385650096488

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,656346,0,0,0,0,0,0,0,0,1).

Formula

G.f.: -(x^16 - 6*x^15 + 7*x^14 - 69*x^13 + 76*x^12 - 145*x^11 + 1381*x^10 - 1526*x^9 + 10537*x^8 + 1526*x^7 + 1381*x^6 + 145*x^5 + 76*x^4 + 69*x^3 + 7*x^2 + 6*x + 1) / (x^18 + 656346*x^9 - 1). - Colin Barker, Dec 25 2013

Mathematica

Denominator[Convergents[Sqrt[970], 30]] (* Vincenzo Librandi, Jan 31 2014 *)

Crossrefs

Cf. A042876, A040938.

Sequence in context: A217548 A335734 A256292 * A219517 A232008 A156791

Adjacent sequences: A042874 A042875 A042876 * A042878 A042879 A042880

Keyword

nonn,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Colin Barker, Dec 25 2013

Status

approved