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A041346 Numerators of continued fraction convergents to sqrt(187). 2
13, 14, 41, 547, 1135, 1682, 44867, 46549, 137965, 1840094, 3818153, 5658247, 150932575, 156590822, 464114219, 6190075669, 12844265557, 19034341226, 507737137433, 526771478659, 1561280094751, 20823412710422, 43208105515595, 64031518226017, 1708027579392037 (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 (0,0,0,0,0,3364,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^11 -13*x^10 +14*x^9 -41*x^8 +547*x^7 -1135*x^6 -1682*x^5 -1135*x^4 -547*x^3 -41*x^2 -14*x -13) / (x^12 -3364*x^6 +1). - Colin Barker, Nov 06 2013

MATHEMATICA

Numerator[Convergents[Sqrt[187], 30]] (* Vincenzo Librandi, Nov 01 2013 *)

LinearRecurrence[{0, 0, 0, 0, 0, 3364, 0, 0, 0, 0, 0, -1}, {13, 14, 41, 547, 1135, 1682, 44867, 46549, 137965, 1840094, 3818153, 5658247}, 30] (* Harvey P. Dale, Dec 22 2013 *)

CROSSREFS

Cf. A041347.

Sequence in context: A071870 A041350 A041348 * A329650 A041352 A041354

Adjacent sequences:  A041343 A041344 A041345 * A041347 A041348 A041349

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 22 18:24 EST 2020. Contains 332148 sequences. (Running on oeis4.)