A042426 Numerators of continued fraction convergents to sqrt(741).

27, 109, 136, 245, 3321, 60023, 783620, 843643, 1627263, 7352695, 398672793, 1602043867, 2000716660, 3602760527, 48836603511, 882661623725, 11523437711936, 12406099335661, 23929537047597, 108124247526049, 5862638903454243, 23558679861343021

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,14705390,0,0,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^19 - 27*x^18 + 109*x^17 - 136*x^16 + 245*x^15 - 3321*x^14 + 60023*x^13 - 783620*x^12 + 843643*x^11 - 1627263*x^10 - 7352695*x^9 - 1627263*x^8 - 843643*x^7 - 783620*x^6 - 60023*x^5 - 3321*x^4 - 245*x^3 - 136*x^2 - 109*x - 27) / (x^20 - 14705390*x^10 + 1). - Colin Barker, Dec 12 2013

Mathematica

Numerator[Convergents[Sqrt[741], 30]] (* Vincenzo Librandi, Nov 24 2013 *)

Crossrefs

Cf. A042427, A040713.

Sequence in context: A244634 A134171 A129026 * A042424 A248095 A193391

Adjacent sequences: A042423 A042424 A042425 * A042427 A042428 A042429

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Colin Barker, Dec 12 2013

Status

approved