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A041284 Numerators of continued fraction convergents to sqrt(155). 2
12, 25, 112, 249, 6088, 12425, 55788, 124001, 3031812, 6187625, 27782312, 61752249, 1509836288, 3081424825, 13835535588, 30752496001, 751895439612, 1534543375225, 6890068940512, 15314681256249 (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 (0,0,0,498,0,0,0,-1).

FORMULA

a(n) = 498*a(n-4)-a(n-8). - Vincenzo Librandi, Nov 01 2013

G.f.: (1+x)*(12 +13*x +99*x^2 +150*x^3 -38*x^4 +13*x^5 -x^6)/(1 -498*x^4 +x^8). [Bruno Berselli, Nov 01 2013]

MATHEMATICA

Numerator[Convergents[Sqrt[155], 30]] (* Vincenzo Librandi, Nov 01 2013 *)

PROG

(MAGMA) I:=[12, 25, 112, 249, 6088, 12425, 55788, 124001]; [n le 8 select I[n] else 498*Self(n-4)-Self(n-8): n in [1..25]]; // Vincenzo Librandi, Nov 01 2013

CROSSREFS

Cf. A041285.

Sequence in context: A042869 A041282 A195116 * A171069 A042193 A041286

Adjacent sequences:  A041281 A041282 A041283 * A041285 A041286 A041287

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified May 22 05:03 EDT 2019. Contains 323473 sequences. (Running on oeis4.)