A041138 Numerators of continued fraction convergents to sqrt(78).

8, 9, 44, 53, 892, 945, 4672, 5617, 94544, 100161, 495188, 595349, 10020772, 10616121, 52485256, 63101377, 1062107288, 1125208665, 5562941948, 6688150613, 112573351756, 119261502369, 589619361232, 708880863601, 11931713178848, 12640594042449, 62494089348644

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,0,0,106,0,0,0,-1).

Formula

G.f.: -(x^7-8*x^6+9*x^5-44*x^4-53*x^3-44*x^2-9*x-8) / (x^8-106*x^4+1). - Colin Barker, Nov 05 2013

Mathematica

Numerator[Convergents[Sqrt[78], 30]] (* Vincenzo Librandi, Oct 29 2013 *)

Crossrefs

Cf. A010530, A041139.

Sequence in context: A284822 A222354 A041933 * A048068 A037957 A165239

Adjacent sequences: A041135 A041136 A041137 * A041139 A041140 A041141

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 05 2013

Status

approved