A041580 Numerators of continued fraction convergents to sqrt(308).

17, 18, 35, 158, 193, 351, 12127, 12478, 24605, 110898, 135503, 246401, 8513137, 8759538, 17272675, 77850238, 95122913, 172973151, 5976210047, 6149183198, 12125393245, 54650756178, 66776149423, 121426905601, 4195290939857, 4316717845458, 8512008785315

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,702,0,0,0,0,0,-1).

Formula

G.f.: -(x^11-17*x^10+18*x^9-35*x^8+158*x^7-193*x^6-351*x^5-193*x^4-158*x^3-35*x^2-18*x-17) / ((x^4-9*x^2+1)*(x^8+9*x^6+80*x^4+9*x^2+1)). - Colin Barker, Nov 09 2013

Mathematica

Numerator[Convergents[Sqrt[308], 30]] (* Vincenzo Librandi, Nov 04 2013 *)

Crossrefs

Cf. A041581.

Sequence in context: A041586 A041588 A041582 * A041578 A041592 A041594

Adjacent sequences: A041577 A041578 A041579 * A041581 A041582 A041583

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 09 2013

Status

approved