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A041531
Denominators of continued fraction convergents to sqrt(282).
2
1, 1, 4, 5, 24, 29, 111, 140, 4591, 4731, 18784, 23515, 112844, 136359, 521921, 658280, 21586881, 22245161, 88322364, 110567525, 530592464, 641159989, 2454072431, 3095232420, 101501509871, 104596742291, 415291736744, 519888479035, 2494845652884
OFFSET
0,3
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 4702, 0, 0, 0, 0, 0, 0, 0, -1).
FORMULA
G.f.: -(x^2-x-1)*(x^4+5*x^2+1)*(x^8+28*x^4+1) / (x^16-4702*x^8+1). - Colin Barker, Nov 18 2013
a(n) = 4702*a(n-8) - a(n-16) for n>15. - Vincenzo Librandi, Dec 19 2013
MATHEMATICA
Denominator[Convergents[Sqrt[282], 30]] (* Vincenzo Librandi, Dec 19 2013 *)
PROG
(Magma) I:=[1, 1, 4, 5, 24, 29, 111, 140, 4591, 4731, 18784, 23515, 112844, 136359, 521921, 658280]; [n le 16 select I[n] else 4702*Self(n-8)-Self(n-16): n in [1..40]]; // Vincenzo Librandi, Dec 19 2013
CROSSREFS
Sequence in context: A063986 A039583 A042123 * A089499 A249060 A042601
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 18 2013
STATUS
approved