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A041514 Numerators of continued fraction convergents to sqrt(274). 2
16, 17, 33, 149, 629, 778, 1407, 45802, 47209, 93011, 419253, 1770023, 2189276, 3959299, 128886844, 132846143, 261732987, 1179778091, 4980845351, 6160623442, 11141468793, 362687624818, 373829093611, 736516718429, 3319895967327, 14016100587737, 17335996555064 (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 (0,0,0,0,0,0,2814,0,0,0,0,0,0,1).

FORMULA

G.f.: -(x^13 -16*x^12 +17*x^11 -33*x^10 +149*x^9 -629*x^8 +778*x^7 +1407*x^6 +778*x^5 +629*x^4 +149*x^3 +33*x^2 +17*x +16) / (x^14 +2814*x^7 -1). - Colin Barker, Nov 08 2013

MATHEMATICA

Numerator[Convergents[Sqrt[274], 30]] (* Vincenzo Librandi, Nov 04 2013 *)

CROSSREFS

Cf. A041515.

Sequence in context: A041520 A058542 A041516 * A041512 A267029 A070869

Adjacent sequences:  A041511 A041512 A041513 * A041515 A041516 A041517

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 08 2013

STATUS

approved

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Last modified February 17 15:19 EST 2019. Contains 320220 sequences. (Running on oeis4.)