A041328 - OEIS

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A041328

Numerators of continued fraction convergents to sqrt(178).

13, 27, 40, 507, 547, 1601, 42173, 85947, 128120, 1623387, 1751507, 5126401, 135037933, 275202267, 410240200, 5198084667, 5608324867, 16414734401, 432391419293, 881197572987, 1313588992280, 16644265480347, 17957854472627, 52559974425601, 1384517189538253

(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 (0,0,0,0,0,3202,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^11-13*x^10+27*x^9-40*x^8+507*x^7-547*x^6-1601*x^5-547*x^4-507*x^3-40*x^2-27*x-13) / (x^12-3202*x^6+1). - Colin Barker, Nov 06 2013

MATHEMATICA

Numerator[Convergents[Sqrt[178], 30]] (* Vincenzo Librandi, Nov 01 2013 *)

CROSSREFS

Cf. A041329.