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A042367
Denominators of continued fraction convergents to sqrt(710).
2
1, 1, 2, 3, 14, 17, 31, 48, 2527, 2575, 5102, 7677, 35810, 43487, 79297, 122784, 6464065, 6586849, 13050914, 19637763, 91601966, 111239729, 202841695, 314081424, 16535075743, 16849157167, 33384232910, 50233390077, 234317793218, 284551183295
OFFSET
0,3
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 2558, 0, 0, 0, 0, 0, 0, 0, -1).
FORMULA
G.f.: -(x^2-x-1)*(x^4+3*x^2+1)*(x^8+16*x^4+1) / (x^16-2558*x^8+1). - Colin Barker, Dec 09 2013
MATHEMATICA
Denominator[Convergents[Sqrt[710], 30]] (* Vincenzo Librandi, Jan 20 2014 *)
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 2558, 0, 0, 0, 0, 0, 0, 0, -1}, {1, 1, 2, 3, 14, 17, 31, 48, 2527, 2575, 5102, 7677, 35810, 43487, 79297, 122784}, 30] (* Harvey P. Dale, Jan 03 2024 *)
CROSSREFS
Sequence in context: A275303 A281500 A041009 * A100341 A041869 A041010
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Dec 09 2013
STATUS
approved