A041974 Numerators of continued fraction convergents to sqrt(510).

22, 23, 45, 113, 158, 271, 12082, 12353, 24435, 61223, 85658, 146881, 6548422, 6695303, 13243725, 33182753, 46426478, 79609231, 3549232642, 3628841873, 7178074515, 17984990903, 25163065418, 43148056321, 1923677543542, 1966825599863, 3890503143405

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,542,0,0,0,0,0,-1).

Formula

G.f.: -(x^11 -22*x^10 +23*x^9 -45*x^8 +113*x^7 -158*x^6 -271*x^5 -158*x^4 -113*x^3 -45*x^2 -23*x -22) / (x^12 -542*x^6 +1). - Colin Barker, Nov 28 2013

Mathematica

Numerator[Convergents[Sqrt[510], 30]] (* Vincenzo Librandi, Nov 12 2013 *)

Crossrefs

Cf. A041975, A040487.

Sequence in context: A041976 A041978 A041980 * A041972 A041970 A041968

Adjacent sequences: A041971 A041972 A041973 * A041975 A041976 A041977

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 28 2013

Status

approved