A041494 Numerators of continued fraction convergents to sqrt(264).

16, 65, 2096, 8449, 272464, 1098305, 35418224, 142771201, 4604096656, 18559157825, 598497147056, 2412547746049, 77800025020624, 313612647828545, 10113404755534064, 40767231669964801, 1314664818194407696, 5299426504447595585, 170896312960517466416

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,130,0,-1).

Formula

G.f.: -(x^3-16*x^2-65*x-16) / (x^4-130*x^2+1). - Colin Barker, Nov 07 2013

Mathematica

Numerator[Convergents[Sqrt[264], 30]] (* Vincenzo Librandi, Nov 03 2013 *)
LinearRecurrence[{0, 130, 0, -1}, {16, 65, 2096, 8449}, 20] (* Harvey P. Dale, Oct 02 2017 *)

Crossrefs

Cf. A041495.

Sequence in context: A232050 A119285 A253673 * A057689 A045024 A043153

Adjacent sequences: A041491 A041492 A041493 * A041495 A041496 A041497

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 07 2013

Status

approved