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A041166
Numerators of continued fraction convergents to sqrt(93).
2
9, 10, 19, 29, 135, 839, 3491, 4330, 7821, 12151, 226539, 238690, 465229, 703919, 3280905, 20389349, 84838301, 105227650, 190065951, 295293601, 5505350769, 5800644370, 11305995139, 17106639509, 79732553175, 495501958559, 2061740387411, 2557242345970
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,24302,0,0,0,0,0,0,0,0,0,-1).
FORMULA
G.f.: -(x^19 -9*x^18 +10*x^17 -19*x^16 +29*x^15 -135*x^14 +839*x^13 -3491*x^12 +4330*x^11 -7821*x^10 -12151*x^9 -7821*x^8 -4330*x^7 -3491*x^6 -839*x^5 -135*x^4 -29*x^3 -19*x^2 -10*x -9) / (x^20 -24302*x^10 +1). - Colin Barker, Nov 10 2013
MATHEMATICA
Numerator[Convergents[Sqrt[93], 30]] (* Vincenzo Librandi, Oct 29 2013 *)
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 0, 24302, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1}, {9, 10, 19, 29, 135, 839, 3491, 4330, 7821, 12151, 226539, 238690, 465229, 703919, 3280905, 20389349, 84838301, 105227650, 190065951, 295293601}, 30] (* Harvey P. Dale, Apr 10 2023 *)
CROSSREFS
Sequence in context: A050551 A022099 A042113 * A042613 A020694 A042095
KEYWORD
nonn,cofr,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 10 2013
STATUS
approved