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A041348 Numerators of continued fraction convergents to sqrt(188). 2
13, 14, 41, 96, 617, 1330, 3277, 4607, 123059, 127666, 378391, 884448, 5685079, 12254606, 30194291, 42448897, 1133865613, 1176314510, 3486494633, 8149303776, 52382317289, 112913938354, 278210193997, 391124132351, 10447437635123, 10838561767474 (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 (0,0,0,0,0,0,0,9214,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^15 -13*x^14 +14*x^13 -41*x^12 +96*x^11 -617*x^10 +1330*x^9 -3277*x^8 -4607*x^7 -3277*x^6 -1330*x^5 -617*x^4 -96*x^3 -41*x^2 -14*x -13) / ((x^8 -96*x^4 +1)*(x^8 +96*x^4 +1)). - Colin Barker, Nov 06 2013

MATHEMATICA

Numerator[Convergents[Sqrt[188], 30]] (* Vincenzo Librandi, Nov 01 2013 *)

CROSSREFS

Cf. A041349.

Sequence in context: A292116 A071870 A041350 * A041346 A329650 A041352

Adjacent sequences:  A041345 A041346 A041347 * A041349 A041350 A041351

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 06 2013

STATUS

approved

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Last modified February 25 05:01 EST 2020. Contains 332217 sequences. (Running on oeis4.)