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A041808
Numerators of continued fraction convergents to sqrt(425).
2
20, 21, 41, 62, 103, 165, 268, 10885, 11153, 22038, 33191, 55229, 88420, 143649, 5834380, 5978029, 11812409, 17790438, 29602847, 47393285, 76996132, 3127238565, 3204234697, 6331473262, 9535707959, 15867181221, 25402889180, 41270070401, 1676205705220
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 536, 0, 0, 0, 0, 0, 0, 1).
FORMULA
G.f.: -(x^13 -20*x^12 +21*x^11 -41*x^10 +62*x^9 -103*x^8 +165*x^7 +268*x^6 +165*x^5 +103*x^4 +62*x^3 +41*x^2 +21*x +20) / (x^14 +536*x^7 -1). - Colin Barker, Nov 25 2013
MATHEMATICA
Numerator[Convergents[Sqrt[425], 30]] (* Vincenzo Librandi, Nov 09 2013 *)
LinearRecurrence[{0, 0, 0, 0, 0, 0, 536, 0, 0, 0, 0, 0, 0, 1}, {20, 21, 41, 62, 103, 165, 268, 10885, 11153, 22038, 33191, 55229, 88420, 143649}, 40] (* Harvey P. Dale, Dec 10 2022 *)
CROSSREFS
Sequence in context: A075034 A363770 A022110 * A041810 A042855 A041812
KEYWORD
nonn,cofr,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 25 2013
STATUS
approved