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A042901
Denominators of continued fraction convergents to sqrt(982).
2
1, 2, 3, 92, 95, 282, 17579, 35440, 53019, 1626010, 1679029, 4984068, 310691245, 626366558, 937057803, 28738100648, 29675158451, 88088417550, 5491157046551, 11070402510652, 16561559557203, 507917189226742, 524478748783945, 1556874686794632, 97050709330051129
OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 17674, 0, 0, 0, 0, 0, -1).
FORMULA
G.f.: -(x^10-2*x^9+3*x^8-92*x^7+95*x^6-282*x^5-95*x^4-92*x^3-3*x^2-2*x-1) / (x^12-17674*x^6+1). - Colin Barker, Dec 25 2013
a(n) = 17674*a(n-6) - a(n-12) for n>11. - Vincenzo Librandi, Feb 01 2014
MATHEMATICA
Denominator[Convergents[Sqrt[982], 30]] (* Vincenzo Librandi, Feb 01 2014 *)
PROG
(Magma) I:=[1, 2, 3, 92, 95, 282, 17579, 35440, 53019, 1626010, 1679029, 4984068]; [n le 12 select I[n] else 17674*Self(n-6)-Self(n-12): n in [1..30]]; // Vincenzo Librandi, Feb 01 2014
CROSSREFS
Sequence in context: A356788 A224934 A299691 * A356796 A356786 A002983
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Dec 25 2013
STATUS
approved