A042153 Denominators of continued fraction convergents to sqrt(601).

1, 1, 2, 31, 33, 196, 1013, 3235, 4248, 7483, 19214, 26697, 72608, 171913, 244521, 2372602, 21597939, 23970541, 69539021, 163048583, 232587604, 628223791, 860811395, 1489035186, 5327916953, 28128619951, 145971016708, 174099636659, 2757465566593

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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 278936607359064, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Formula

a(n) = 278936607359064*a(n-31) + a(n-62). - Wesley Ivan Hurt, Jan 01 2024

Mathematica

Denominator[Convergents[Sqrt[601], 30]] (* Vincenzo Librandi, Jan 15 2014 *)

Crossrefs

Cf. A042152.

Sequence in context: A247099 A053234 A020896 * A267207 A102630 A264783

Adjacent sequences: A042150 A042151 A042152 * A042154 A042155 A042156

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Jan 15 2014

Status

approved