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A041278 Numerators of continued fraction convergents to sqrt(152). 2
12, 37, 900, 2737, 66588, 202501, 4926612, 14982337, 364502700, 1108490437, 26968273188, 82013310001, 1995287713212, 6067876449637, 147624322504500, 448940843963137, 10922204577619788, 33215554576822501, 808095514421359812, 2457502097840901937 (list; graph; refs; listen; history; text; internal format)
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

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Last modified September 30 05:03 EDT 2020. Contains 337435 sequences. (Running on oeis4.)