A041558 - OEIS

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A041558

Numerators of continued fraction convergents to sqrt(297).

17, 69, 224, 293, 517, 1327, 1844, 3171, 11357, 48599, 1663723, 6703491, 21774196, 28477687, 50251883, 128981453, 179233336, 308214789, 1103877703, 4723725601, 161710548137, 651565918149, 2116408302584, 2767974220733, 4884382523317, 12536739267367

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OFFSET

0,1

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,97198,0,0,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^19 -17*x^18 +69*x^17 -224*x^16 +293*x^15 -517*x^14 +1327*x^13 -1844*x^12 +3171*x^11 -11357*x^10 -48599*x^9 -11357*x^8 -3171*x^7 -1844*x^6 -1327*x^5 -517*x^4 -293*x^3 -224*x^2 -69*x -17) / (x^20 -97198*x^10 +1). - Colin Barker, Nov 10 2013

MATHEMATICA

Numerator[Convergents[Sqrt[297], 30]] (* Vincenzo Librandi, Nov 04 2013 *)

LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 0, 97198, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1}, {17, 69, 224, 293, 517, 1327, 1844, 3171, 11357, 48599, 1663723, 6703491, 21774196, 28477687, 50251883, 128981453, 179233336, 308214789, 1103877703, 4723725601}, 40] (* Harvey P. Dale, Jan 01 2014 *)

CROSSREFS

Cf. A041559.

Sequence in context: A244630 A248894 A041556 * A327495 A183943 A180532

Adjacent sequences: A041555 A041556 A041557 * A041559 A041560 A041561

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 10 2013

STATUS

approved