A042879 Denominators of continued fraction convergents to sqrt(971).

1, 6, 25, 31, 56, 87, 230, 1237, 3941, 9119, 113369, 3523558, 42396065, 88315688, 307343129, 1625031333, 3557405795, 5182437128, 8739842923, 13922280051, 64428963127, 400496058813, 24895184609533, 149771603716011, 623981599473577, 773753203189588

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, 0, 0, 0, 0, 0, 0, 0, 24959613572660, 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) = 24959613572660*a(n-22) - a(n-44) for n > 43. - Vincenzo Librandi, Jan 31 2014

Mathematica

Denominator/@Convergents[Sqrt[971], 30] (* Harvey P. Dale, May 04 2011 *)

Crossrefs

Cf. A042878, A040939.

Sequence in context: A126016 A237286 A046416 * A042495 A018198 A079606

Adjacent sequences: A042876 A042877 A042878 * A042880 A042881 A042882

Keyword

nonn,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Vincenzo Librandi, Jan 31 2014

Status

approved