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A041494 Numerators of continued fraction convergents to sqrt(264). 2
16, 65, 2096, 8449, 272464, 1098305, 35418224, 142771201, 4604096656, 18559157825, 598497147056, 2412547746049, 77800025020624, 313612647828545, 10113404755534064, 40767231669964801, 1314664818194407696, 5299426504447595585, 170896312960517466416 (list; graph; refs; listen; history; text; internal format)
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

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Last modified March 23 03:19 EDT 2023. Contains 361434 sequences. (Running on oeis4.)