A042818 Numerators of continued fraction convergents to sqrt(940).

30, 31, 61, 92, 1349, 1441, 2790, 4231, 256650, 260881, 517531, 778412, 11415299, 12193711, 23609010, 35802721, 2171772270, 2207574991, 4379347261, 6586922252, 96596258789, 103183181041, 199779439830, 302962620871, 18377536692090, 18680499312961

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, 8462, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^15 -30*x^14 +31*x^13 -61*x^12 +92*x^11 -1349*x^10 +1441*x^9 -2790*x^8 -4231*x^7 -2790*x^6 -1441*x^5 -1349*x^4 -92*x^3 -61*x^2 -31*x -30) / ((x^8 -92*x^4 +1)*(x^8 +92*x^4 +1)). - Colin Barker, Dec 24 2013

Mathematica

Numerator[Convergents[Sqrt[940], 30]] (* Vincenzo Librandi, Dec 05 2013 *)

Crossrefs

Cf. A042819, A040909.

Sequence in context: A042812 A042814 A042816 * A042808 A042810 A042806

Adjacent sequences: A042815 A042816 A042817 * A042819 A042820 A042821

Keyword

nonn,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Colin Barker, Dec 24 2013

Status

approved