A041540 Numerators of continued fraction convergents to sqrt(287).

16, 17, 271, 288, 9487, 9775, 156112, 165887, 5464496, 5630383, 89920241, 95550624, 3147540209, 3243090833, 51793902704, 55036993537, 1812977695888, 1868014689425, 29833198037263, 31701212726688, 1044272005291279, 1075973218017967, 17183870275560784

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