A042220 Numerators of continued fraction convergents to sqrt(636).

25, 101, 126, 227, 807, 2648, 32583, 100397, 333774, 434171, 767945, 3505951, 176065495, 707767931, 883833426, 1591601357, 5658637497, 18567513848, 228468803673, 703973924867, 2340390578274, 3044364503141

Offset

0,1

Comments

Conjecture: satisfies a linear recurrence having signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7011902, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1). - Harvey P. Dale, May 08 2022

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, 7011902, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Mathematica

Numerator[Convergents[Sqrt[636], 30]] (* Harvey P. Dale, Sep 17 2013 *)

Crossrefs

Cf. A042221.

Sequence in context: A309779 A356533 A221274 * A114254 A042222 A379868

Adjacent sequences: A042217 A042218 A042219 * A042221 A042222 A042223

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved