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A041496 Numerators of continued fraction convergents to sqrt(265). 2
16, 49, 65, 114, 293, 700, 993, 1693, 6072, 195997, 594063, 790060, 1384123, 3558306, 8500735, 12059041, 20559776, 73738369, 2380187584, 7214301121, 9594488705, 16808789826, 43212068357, 103232926540, 146444994897, 249677921437, 895478759208, 28904998216093 (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 (0,0,0,0,0,0,0,0,12144,0,0,0,0,0,0,0,0,1).

FORMULA

G.f.: -(x^17 -16*x^16 +49*x^15 -65*x^14 +114*x^13 -293*x^12 +700*x^11 -993*x^10 +1693*x^9 +6072*x^8 +1693*x^7 +993*x^6 +700*x^5 +293*x^4 +114*x^3 +65*x^2 +49*x +16) / (x^18 +12144*x^9 -1). - Colin Barker, Nov 10 2013

MATHEMATICA

Numerator[Convergents[Sqrt[265], 30]] (* Vincenzo Librandi, Nov 03 2013 *)

CROSSREFS

Cf. A041497.

Sequence in context: A297697 A231526 A329075 * A059207 A016778 A009952

Adjacent sequences:  A041493 A041494 A041495 * A041497 A041498 A041499

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 10 2013

STATUS

approved

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Last modified August 12 17:17 EDT 2020. Contains 336439 sequences. (Running on oeis4.)