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A042852

Numerators of continued fraction convergents to sqrt(957).

30, 31, 464, 959, 13890, 14849, 904830, 919679, 13780336, 28480351, 412505250, 440985601, 26871641310, 27312626911, 409248418064, 845809463039, 12250580900610, 13096390363649, 798034002719550, 811130393083199, 12153859505884336, 25118849404851871

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OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,29698,0,0,0,0,0,-1).

FORMULA

G.f.: (30 +31*x +464*x^2 +959*x^3 +13890*x^4 +14849*x^5 +13890*x^6 -959*x^7 +464*x^8 -31*x^9 +30*x^10 -x^11)/(1 -29698*x^6 +x^12). - Vincenzo Librandi, Dec 07 2013

a(n) = 29698*a(n-6) - a(n-12), - Vincenzo Librandi, Dec 07 2013

MATHEMATICA

Numerator[Convergents[Sqrt[957], 30]] (* or *) CoefficientList[Series[(30 + 31 x + 464 x^2 + 959 x^3 + 13890 x^4 + 14849 x^5 + 13890 x^6 - 959 x^7 + 464 x^8 - 31 x^9 + 30 x^10 - x^11)/(1 - 29698 x^6 + x^12), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 07 2013 *)

PROG

(Magma) I:=[ 30, 31, 464, 959, 13890, 14849, 904830, 919679, 13780336, 28480351, 412505250, 440985601]; [n le 12 select I[n] else 29698*Self(n-6)-Self(n-12): n in [1..30]]; // Vincenzo Librandi, Dec 07 2013

CROSSREFS

Cf. A042853.

Sequence in context: A042846 A042848 A042850 * A042854 A268337 A042856

Adjacent sequences: A042849 A042850 A042851 * A042853 A042854 A042855

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Vincenzo Librandi, Dec 07 2013

STATUS

approved

URL: https://oeis.org/A042852

⇱ A042852 - OEIS