A042198 Numerators of continued fraction convergents to sqrt(624).

24, 25, 1224, 1249, 61176, 62425, 3057576, 3120001, 152817624, 155937625, 7637823624, 7793761249, 381738363576, 389532124825, 19079280355176, 19468812480001, 953582279395224, 973051091875225, 47660034689406024, 48633085781281249, 2382048152190905976

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..100

Index entries for linear recurrences with constant coefficients, signature (0,50,0,-1).

Formula

G.f.: -(x^3-24*x^2-25*x-24) / (x^4-50*x^2+1). - Colin Barker, Nov 09 2013

Mathematica

Numerator[Convergents[Sqrt[624], 20]] (* Harvey P. Dale, Oct 20 2011 *)

Crossrefs

Cf. A042199.

Sequence in context: A042194 A042196 A042197 * A002924 A241042 A346290

Adjacent sequences: A042195 A042196 A042197 * A042199 A042200 A042201

Keyword

nonn,cofr,easy,less

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 09 2013

Status

approved