A041896 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

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 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

A041896

Numerators of continued fraction convergents to sqrt(470).

21, 22, 65, 542, 1149, 1691, 72171, 73862, 219895, 1833022, 3885939, 5718961, 244082301, 249801262, 743684825, 6199279862, 13142244549, 19341524411, 825486269811, 844827794222, 2515141858255, 20965962660262, 44447067178779, 65413029839041, 2791794320418501

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,1

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, 3382, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^11 -21*x^10 +22*x^9 -65*x^8 +542*x^7 -1149*x^6 -1691*x^5 -1149*x^4 -542*x^3 -65*x^2 -22*x -21) / (x^12 -3382*x^6 +1). - Colin Barker, Nov 27 2013

MATHEMATICA

Numerator[Convergents[Sqrt[470], 30]] (* Vincenzo Librandi, Nov 11 2013 *)

CROSSREFS

Cf. A041897, A040448.

Sequence in context: A041900 A041902 A041898 * A041906 A041904 A041908

Adjacent sequences: A041893 A041894 A041895 * A041897 A041898 A041899

KEYWORD

nonn,cofr,frac,easy,less

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 27 2013

STATUS

approved