A041278 Numerators of continued fraction convergents to sqrt(152).

12, 37, 900, 2737, 66588, 202501, 4926612, 14982337, 364502700, 1108490437, 26968273188, 82013310001, 1995287713212, 6067876449637, 147624322504500, 448940843963137, 10922204577619788, 33215554576822501, 808095514421359812, 2457502097840901937

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,74,0,-1).

Formula

a(0)=12, a(1)=37, a(2)=900, a(3)=2737; for n>3, a(n)=74*a(n-2)-a(n-4). [Harvey P. Dale, May 19 2011]

Mathematica

Numerator/@Convergents[Sqrt[152], 30] (* or *) LinearRecurrence[ {0, 74, 0, -1}, {12, 37, 900, 2737}, 30] (* Harvey P. Dale, May 19 2011 *)

Crossrefs

Cf. A041279.

Sequence in context: A041276 A302884 A057457 * A259524 A043117 A039294

Adjacent sequences: A041275 A041276 A041277 * A041279 A041280 A041281

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 06 2013

Status

approved