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

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.

Sequence in context: A293787 A041330 A041765 * A136773 A358053 A189528

Adjacent sequences: A041325 A041326 A041327 * A041329 A041330 A041331

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 06 2013

Status

approved