A042192 Numerators of continued fraction convergents to sqrt(621).

24, 25, 299, 623, 7152, 7775, 380352, 388127, 4649749, 9687625, 111213624, 120901249, 5914473576, 6035374825, 72303596651, 150642568127, 1729371846048, 1880014414175, 91970063726448, 93850078140623, 1124320923273301, 2342491924687225, 26891732094832776

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, 15550, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^11 -24*x^10 +25*x^9 -299*x^8 +623*x^7 -7152*x^6 -7775*x^5 -7152*x^4 -623*x^3 -299*x^2 -25*x -24) / ((x^4 -25*x^2 +1)*(x^8 +25*x^6 +624*x^4 +25*x^2 +1)). - Colin Barker, Dec 03 2013

Mathematica

Numerator[Convergents[Sqrt[621], 30]] (* Vincenzo Librandi, Nov 18 2013 *)
LinearRecurrence[{0, 0, 0, 0, 0, 15550, 0, 0, 0, 0, 0, -1}, {24, 25, 299, 623, 7152, 7775, 380352, 388127, 4649749, 9687625, 111213624, 120901249}, 30] (* Harvey P. Dale, Jan 29 2024 *)

Crossrefs

Cf. A042193, A040596.

Sequence in context: A042186 A042188 A042190 * A042194 A042196 A042197

Adjacent sequences: A042189 A042190 A042191 * A042193 A042194 A042195

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 03 2013

Status

approved