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A042744 Numerators of continued fraction convergents to sqrt(903). 2
30, 601, 36090, 722401, 43380150, 868325401, 52142904210, 1043726409601, 62675727480270, 1254558276015001, 75336172288380330, 1507978004043621601, 90554016414905676390, 1812588306302157149401, 108845852394544334640450 (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 (0,1202,0,-1).

FORMULA

G.f.: (30 +601*x +30*x^2 -x^3)/(1 -1202*x^2 +x^4). - Vincenzo Librandi, Dec 03 2013

a(n) = 1202*a(n-2) - a(n-4). - Vincenzo Librandi, Dec 03 2013

MATHEMATICA

Numerator[Convergents[Sqrt[903], 30]] (* or *) CoefficientList[Series[(30 + 601 x + 30 x^2 - x^3)/(1 - 1202 x^2 + x^4), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 03 2013 *)

PROG

(MAGMA) I:=[30, 601, 36090, 722401]; [n le 4 select I[n] else 1202*Self(n-2)-Self(n-4): n in [1..30]]; // Vincenzo Librandi, Dec 03 2013

CROSSREFS

Cf. A042745.

Sequence in context: A131206 A020982 A024436 * A020980 A051303 A020975

Adjacent sequences:  A042741 A042742 A042743 * A042745 A042746 A042747

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified July 12 21:31 EDT 2020. Contains 335669 sequences. (Running on oeis4.)