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A042818 Numerators of continued fraction convergents to sqrt(940). 2
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified February 15 20:07 EST 2019. Contains 320138 sequences. (Running on oeis4.)