login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A042901 Denominators of continued fraction convergents to sqrt(982). 2
1, 2, 3, 92, 95, 282, 17579, 35440, 53019, 1626010, 1679029, 4984068, 310691245, 626366558, 937057803, 28738100648, 29675158451, 88088417550, 5491157046551, 11070402510652, 16561559557203, 507917189226742, 524478748783945, 1556874686794632, 97050709330051129 (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, 0, 17674, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^10-2*x^9+3*x^8-92*x^7+95*x^6-282*x^5-95*x^4-92*x^3-3*x^2-2*x-1) / (x^12-17674*x^6+1). - Colin Barker, Dec 25 2013

a(n) = 17674*a(n-6) - a(n-12) for n>11. - Vincenzo Librandi, Feb 01 2014

MATHEMATICA

Denominator[Convergents[Sqrt[982], 30]] (* Vincenzo Librandi, Feb 01 2014 *)

PROG

(MAGMA) I:=[1, 2, 3, 92, 95, 282, 17579, 35440, 53019, 1626010, 1679029, 4984068]; [n le 12 select I[n] else 17674*Self(n-6)-Self(n-12): n in [1..30]]; // Vincenzo Librandi, Feb 01 2014

CROSSREFS

Cf. A042900, A040950.

Sequence in context: A246121 A224934 A299691 * A002983 A118167 A291932

Adjacent sequences:  A042898 A042899 A042900 * A042902 A042903 A042904

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 25 2013

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 26 14:39 EST 2021. Contains 341632 sequences. (Running on oeis4.)