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A041869
Denominators of continued fraction convergents to sqrt(456).
2
1, 2, 3, 14, 17, 48, 2033, 4114, 6147, 28702, 34849, 98400, 4167649, 8433698, 12601347, 58839086, 71440433, 201719952, 8543678417, 17289076786, 25832755203, 120620097598, 146452852801, 413525803200, 17514536587201, 35442598977602, 52957135564803
OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,2050,0,0,0,0,0,-1).
FORMULA
G.f.: -(x^10 -2*x^9 +3*x^8 -14*x^7 +17*x^6 -48*x^5 -17*x^4 -14*x^3 -3*x^2 -2*x-1) / (x^12 -2050*x^6 +1). - Colin Barker, Nov 26 2013
a(n) = 2050*a(n-6) - a(n-12) for n>11. - Vincenzo Librandi, Dec 26 2013
MATHEMATICA
Denominator[Convergents[Sqrt[456], 30]] (* Vincenzo Librandi, Dec 26 2013 *)
PROG
(Magma) I:=[1, 2, 3, 14, 17, 48, 2033, 4114, 6147, 28702, 34849, 98400]; [n le 12 select I[n] else 2050*Self(n-6)-Self(n-12): n in [1..40]]; // Vincenzo Librandi, Dec 26 2013
CROSSREFS
Sequence in context: A041009 A042367 A100341 * A041010 A041733 A212112
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 26 2013
STATUS
approved