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

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A041825 Denominators of continued fraction convergents to sqrt(433). 2
1, 1, 5, 21, 47, 115, 162, 601, 7975, 8576, 16551, 25127, 41678, 566941, 1742501, 2309442, 6361385, 15032212, 66490233, 280993144, 347483377, 14180328224, 14527811601, 72291574628, 303694110113, 679679794854, 1663053699821, 2342733494675, 8691254183846 (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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14461321368, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

FORMULA

a(n) = 14461321368*a(n-21) + a(n-42) for n>41. - Vincenzo Librandi, Dec 25 2013

MATHEMATICA

Denominator/@Convergents[Sqrt[433], 30]  (* Harvey P. Dale, Apr 04 2011 *)

CROSSREFS

Cf. A041824.

Sequence in context: A166010 A146846 A296200 * A022268 A201279 A146721

Adjacent sequences:  A041822 A041823 A041824 * A041826 A041827 A041828

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Vincenzo Librandi, 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 December 4 02:40 EST 2021. Contains 349469 sequences. (Running on oeis4.)