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A041542 Numerators of continued fraction convergents to sqrt(288). 2
16, 17, 560, 577, 19024, 19601, 646256, 665857, 21953680, 22619537, 745778864, 768398401, 25334527696, 26102926097, 860628162800, 886731088897, 29236023007504, 30122754096401, 993164154092336, 1023286908188737, 33738345216131920, 34761632124320657 (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 (0,34,0,-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

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Last modified February 23 00:33 EST 2018. Contains 299473 sequences. (Running on oeis4.)