A041542 Numerators of continued fraction convergents to sqrt(288).

16, 17, 560, 577, 19024, 19601, 646256, 665857, 21953680, 22619537, 745778864, 768398401, 25334527696, 26102926097, 860628162800, 886731088897, 29236023007504, 30122754096401, 993164154092336, 1023286908188737, 33738345216131920, 34761632124320657

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,34,0,-1).

Formula

G.f.: (16 + 17*x + 16*x^2 - x^3)/((1 - 6*x + x^2)*(1 + 6*x + x^2)). [Bruno Berselli, Nov 04 2013]

Mathematica

Numerator[Convergents[Sqrt[288], 30]] (* Vincenzo Librandi, Nov 04 2013 *)
LinearRecurrence[{0, 34, 0, -1}, {16, 17, 560, 577}, 30] (* Bruno Berselli, Nov 04 2013 *)

Crossrefs

Cf. A041543.

Sequence in context: A033052 A041540 A041541 * A030046 A002925 A070540

Adjacent sequences: A041539 A041540 A041541 * A041543 A041544 A041545

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved