A041782 Numerators of continued fraction convergents to sqrt(412).

20, 61, 142, 203, 751, 954, 4567, 14655, 33877, 455056, 4584437, 60052737, 124689911, 434122470, 1861179791, 2295302261, 8747086574, 11042388835, 30831864244, 103537981567, 4172351126924, 12620591362339

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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 207075963134, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

a(n) = 207075963134*a(n-20) - a(n-40) for n>39. - Bruno Berselli, Nov 09 2013

Mathematica

Numerator[Convergents[Sqrt[412], 30]] (* Vincenzo Librandi, Nov 09 2013 *)

Prog

(PARI) apply(numerator, cofr(sqrt(412))) \\ Charles R Greathouse IV, May 29 2026

Crossrefs

Cf. A041783.

Sequence in context: A219830 A359444 A041780 * A041784 A276962 A105092

Adjacent sequences: A041779 A041780 A041781 * A041783 A041784 A041785

Keyword

nonn,cofr,frac,less,easy

Author

N. J. A. Sloane

Status

approved