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A041832
Numerators of continued fraction convergents to sqrt(437).
2
20, 21, 209, 439, 4160, 4599, 188120, 192719, 1922591, 4037901, 38263700, 42301601, 1730327740, 1772629341, 17683991809, 37140612959, 351949508440, 389090121399, 15915554364400, 16304644485799, 162657354736591, 341619353958981, 3237231540367420
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 9198, 0, 0, 0, 0, 0, -1).
FORMULA
G.f.: -(x^11 -20*x^10 +21*x^9 -209*x^8 +439*x^7 -4160*x^6 -4599*x^5 -4160*x^4 -439*x^3 -209*x^2 -21*x -20) / ((x^4 -21*x^2 +1)*(x^8 +21*x^6 +440*x^4 +21*x^2 +1)). - Colin Barker, Nov 25 2013
a(n) = 9198*a(n-6)-a(n-12). - Wesley Ivan Hurt, May 04 2021
MATHEMATICA
Numerator[Convergents[Sqrt[437], 30]] (* Vincenzo Librandi, Nov 09 2013 *)
LinearRecurrence[{0, 0, 0, 0, 0, 9198, 0, 0, 0, 0, 0, -1}, {20, 21, 209, 439, 4160, 4599, 188120, 192719, 1922591, 4037901, 38263700, 42301601}, 30] (* Harvey P. Dale, Jul 09 2024 *)
CROSSREFS
Sequence in context: A037308 A041828 A041830 * A082260 A041834 A219798
KEYWORD
nonn,cofr,frac,easy,less
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 25 2013
STATUS
approved