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A042004 Numerators of continued fraction convergents to sqrt(525). 2
22, 23, 252, 527, 5522, 6049, 271678, 277727, 3048948, 6375623, 66805178, 73180801, 3286760422, 3359941223, 36886172652, 77132286527, 808209037922, 885341324449, 39763227313678, 40648568638127 (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, 0, 0, 12098, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^11-22*x^10+23*x^9-252*x^8+527*x^7-5522*x^6-6049*x^5-5522*x^4-527*x^3-252*x^2-23*x-22)/(x^12-12098*x^6+1). - Vincenzo Librandi, Nov 13 2013

a(n) = 12098*a(n-6)-a(n-12). - Vincenzo Librandi, Nov 13 2013

MATHEMATICA

Numerator[Convergents[Sqrt[525], 30]] (* or *) CoefficientList[Series[-(x^11 - 22 x^10 + 23 x^9 - 252 x^8 + 527 x^7 - 5522 x^6 - 6049 x^5 - 5522 x^4 - 527 x^3 - 252 x^2 - 23 x - 22)/(x^12 - 12098 x^6 + 1), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 13 2013 *)

PROG

(MAGMA) I:=[22, 23, 252, 527, 5522, 6049, 271678, 277727, 3048948, 6375623, 66805178, 73180801]; [n le 12 select I[n] else 12098*Self(n-6)-Self(n-12): n in [1..30]]; // Vincenzo Librandi, Nov 13 2013

CROSSREFS

Cf. A042005.

Sequence in context: A042000 A042002 A119603 * A042006 A042008 A042009

Adjacent sequences:  A042001 A042002 A042003 * A042005 A042006 A042007

KEYWORD

nonn,cofr,frac,easy,less

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified March 21 10:00 EDT 2019. Contains 321368 sequences. (Running on oeis4.)