A042602 Numerators of continued fraction convergents to sqrt(830).

28, 29, 144, 461, 605, 6511, 7116, 27859, 118552, 146411, 8317568, 8463979, 42173484, 134984431, 177157915, 1906563581, 2083721496, 8157728069, 34714633772, 42872361841, 2435566896868, 2478439258709, 12349323931704, 39526411053821, 51875734985525

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,292822,0,0,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^19 -28*x^18 +29*x^17 -144*x^16 +461*x^15 -605*x^14 +6511*x^13 -7116*x^12 +27859*x^11 -118552*x^10 -146411*x^9 -118552*x^8 -27859*x^7 -7116*x^6 -6511*x^5 -605*x^4 -461*x^3 -144*x^2 -29*x -28) / (x^20 -292822*x^10 +1). - Colin Barker, Dec 19 2013

Mathematica

Numerator[Convergents[Sqrt[830], 30]] (* Vincenzo Librandi, Nov 29 2013 *)

Crossrefs

Cf. A042603, A040801.

Sequence in context: A042598 A042596 A042604 * A042606 A042608 A042610

Adjacent sequences: A042599 A042600 A042601 * A042603 A042604 A042605

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 19 2013

Status

approved