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A041512 Numerators of continued fraction convergents to sqrt(273). 2
16, 17, 33, 347, 380, 727, 23644, 24371, 48015, 504521, 552536, 1057057, 34378360, 35435417, 69813777, 733573187, 803386964, 1536960151, 49986111796, 51523071947, 101509183743, 1066614909377, 1168124093120, 2234739002497, 72679772173024, 74914511175521 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,1454,0,0,0,0,0,-1).
FORMULA
G.f.: -(x^11 -16*x^10 +17*x^9 -33*x^8 +347*x^7 -380*x^6 -727*x^5 -380*x^4 -347*x^3 -33*x^2 -17*x -16) / (x^12 -1454*x^6 +1). - _Colin Barker_, Nov 07 2013
MATHEMATICA
Numerator[Convergents[Sqrt[273], 30]] (* _Vincenzo Librandi_, Nov 04 2013 *)
LinearRecurrence[{0, 0, 0, 0, 0, 1454, 0, 0, 0, 0, 0, -1}, {16, 17, 33, 347, 380, 727, 23644, 24371, 48015, 504521, 552536, 1057057}, 30] (* _Harvey P. Dale_, Feb 27 2023 *)
CROSSREFS
Cf. A041513.
Sequence in context: A058542 A041516 A041514 * A267029 A070869 A101196
KEYWORD
nonn,cofr,frac,easy
AUTHOR
_N. J. A. Sloane_.
EXTENSIONS
More terms from _Colin Barker_, Nov 07 2013
STATUS
approved

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Last modified March 5 06:47 EST 2024. Contains 370537 sequences. (Running on oeis4.)