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A041540 Numerators of continued fraction convergents to sqrt(287). 2
16, 17, 271, 288, 9487, 9775, 156112, 165887, 5464496, 5630383, 89920241, 95550624, 3147540209, 3243090833, 51793902704, 55036993537, 1812977695888, 1868014689425, 29833198037263, 31701212726688, 1044272005291279, 1075973218017967, 17183870275560784 (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 (0,0,0,576,0,0,0,-1).

FORMULA

G.f.: (16 + 17*x + 271*x^2 + 288*x^3 + 271*x^4 - 17*x^5 + 16*x^6 - x^7) / (1 - 576*x^4 + x^8). [Bruno Berselli, Nov 04 2013]

MATHEMATICA

Numerator[Convergents[Sqrt[287], 30]] (* Vincenzo Librandi, Nov 04 2013 *)

LinearRecurrence[{0, 0, 0, 576, 0, 0, 0, -1}, {16, 17, 271, 288, 9487, 9775, 156112, 165887}, 30] (* Bruno Berselli, Nov 04 2013 *)

CROSSREFS

Cf. A041541.

Sequence in context: A041536 A041538 A033052 * A041541 A041542 A030046

Adjacent sequences:  A041537 A041538 A041539 * A041541 A041542 A041543

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified October 20 01:39 EDT 2018. Contains 316378 sequences. (Running on oeis4.)