A041804 - OEIS

A041804

Numerators of continued fraction convergents to sqrt(423).

20, 21, 41, 144, 617, 1995, 2612, 4607, 186892, 191499, 378391, 1326672, 5685079, 18381909, 24066988, 42448897, 1722022868, 1764471765, 3486494633, 12223955664, 52382317289, 169370907531, 221753224820, 391124132351, 15866718518860, 16257842651211

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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, 9214, 0, 0, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^15 -20*x^14 +21*x^13 -41*x^12 +144*x^11 -617*x^10 +1995*x^9 -2612*x^8 -4607*x^7 -2612*x^6 -1995*x^5 -617*x^4 -144*x^3 -41*x^2 -21*x -20) / ((x^8 -96*x^4 +1)*(x^8 +96*x^4 +1)). - Colin Barker, Nov 25 2013

MATHEMATICA

Numerator[Convergents[Sqrt[423], 30]] (* Harvey P. Dale, Oct 09 2013 *)

CROSSREFS

Cf. A041805, A040402.

Sequence in context: A042855 A041812 A041806 * A041802 A041800 A053242

Adjacent sequences: A041801 A041802 A041803 * A041805 A041806 A041807

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 25 2013

STATUS

approved