A041879 Denominators of continued fraction convergents to sqrt(461).

1, 2, 17, 172, 189, 361, 550, 911, 1461, 2372, 3833, 6205, 65883, 533269, 1132421, 48094951, 97322323, 826673535, 8364057673, 9190731208, 17554788881, 26745520089, 44300308970, 71045829059, 115346138029, 186391967088, 301738105117, 3203773018258

Offset

0,2

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, 48628220, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Formula

a(n) = 48628220*a(n-15) + a(n-30) for n>29. - Vincenzo Librandi, Dec 26 2013

Mathematica

Denominator[Convergents[Sqrt[461], 30]] (* Vincenzo Librandi, Dec 26 2013 *)

Prog

(PARI)
N=40;
default(realprecision, 2*N+11);
L=contfracpnqn(contfrac(sqrt(461)), N)[2, ];
vector(#L-1, j, L[j+1])
\\ Joerg Arndt, Dec 27 2013

Crossrefs

Cf. A041878.

Sequence in context: A003419 A126109 A046909 * A011550 A102023 A212833

Adjacent sequences: A041876 A041877 A041878 * A041880 A041881 A041882

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Dec 26 2013

Status

approved