A041277 -id:A041277 - cp's OEIS frontend

A041276 Numerators of continued fraction convergents to sqrt(151).

12, 37, 86, 639, 725, 2814, 11981, 14795, 26776, 41571, 484057, 525628, 1009685, 1535313, 7150937, 22988124, 30139061, 233961551, 498062163, 1728148040, 41973615123, 127648993409, 297271601941, 2208550206996

Offset: 0

N. J. A. Sloane

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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3456296080, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Cf. A041277.

Numerator[Convergents[Sqrt[151], 30]] (* Vincenzo Librandi, Nov 01 2013 *)

A202280 y-values in the solutions to x^2 - 151*y^2 = 1.

Original entry on oeis.org

0, 140634693, 486075138127903440, 1680019594496931198149880507, 5806645138782932871709060110684609120, 20069484831126506853711147766546649419638369093, 69366081749442007616768328339033006654521310003044446320

Offset: 1

Arkadiusz Wesolowski, Dec 15 2011

A. H. Beiler, Recreations in the Theory of Numbers, Dover, NY, 1996, p. 248.

Index entries for linear recurrences with constant coefficients, signature (3456296080, -1).

Cf. A041277, A082394.

LinearRecurrence[{3456296080, -1}, {0, 140634693}, 7]

a(n) = 3456296080*a(n-1) - a(n-2) with a(1) = 0 and a(2) = 140634693.

G.f.: 140634693*x^2/(1 - 3456296080*x + x^2).

cp's OEIS Frontend

A041276 Numerators of continued fraction convergents to sqrt(151).

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