A041264 Numerators of continued fraction convergents to sqrt(145).

12, 289, 6948, 167041, 4015932, 96549409, 2321201748, 55805391361, 1341650594412, 32255419657249, 775471722368388, 18643576756498561, 448221313878333852, 10775955109836511009, 259071143949954598068, 6228483409908746864641, 149742672981759879349452

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Tanya Khovanova, Recursive Sequences

Index entries for linear recurrences with constant coefficients, signature (24,1).

Formula

a(n) = 24*a(n-1)+a(n-2) for n>1; a(0)=12, a(1)=289. G.f.: (12+x)/(1-24*x-x^2). [Philippe Deléham, Nov 21 2008]

Mathematica

Numerator[Convergents[Sqrt[145], 30]] (* Vincenzo Librandi, Oct 31 2013 *)

Crossrefs

Cf. A041265.

Sequence in context: A001164 A226100 A041267 * A220307 A361302 A361309

Adjacent sequences: A041261 A041262 A041263 * A041265 A041266 A041267

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 06 2013

Status

approved