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A042590 Numerators of continued fraction convergents to sqrt(824). 2
28, 29, 86, 201, 287, 488, 3215, 3703, 6918, 17539, 41996, 59535, 3375956, 3435491, 10246938, 23929367, 34176305, 58105672, 382810337, 440916009, 823726346, 2088368701, 5000463748, 7088832449, 401975080892, 409063913341, 1220102907574, 2849269728489 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 119070, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
FORMULA
G.f.: -(x^23 -28*x^22 +29*x^21 -86*x^20 +201*x^19 -287*x^18 +488*x^17 -3215*x^16 +3703*x^15 -6918*x^14 +17539*x^13 -41996*x^12 -59535*x^11 -41996*x^10 -17539*x^9 -6918*x^8 -3703*x^7 -3215*x^6 -488*x^5 -287*x^4 -201*x^3 -86*x^2 -29*x -28) / (x^24 -119070*x^12 +1). - Colin Barker, Dec 19 2013
MATHEMATICA
Numerator[Convergents[Sqrt[824], 30]] (* Vincenzo Librandi, Nov 29 2013 *)
CROSSREFS
Sequence in context: A162302 A042592 A042594 * A042588 A042586 A042600
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Dec 19 2013
STATUS
approved

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Last modified March 28 10:55 EDT 2024. Contains 371241 sequences. (Running on oeis4.)