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A041208 Numerators of continued fraction convergents to sqrt(115). 2
10, 11, 32, 43, 75, 118, 193, 311, 815, 1126, 23335, 24461, 72257, 96718, 168975, 265693, 434668, 700361, 1835390, 2535751, 52550410, 55086161, 162722732, 217808893, 380531625, 598340518, 978872143, 1577212661, 4133297465, 5710510126, 118343499985 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,2252,0,0,0,0,0,0,0,0,0,-1).
FORMULA
G.f.: -(x^19 -10*x^18 +11*x^17 -32*x^16 +43*x^15 -75*x^14 +118*x^13 -193*x^12 +311*x^11 -815*x^10 -1126*x^9 -815*x^8 -311*x^7 -193*x^6 -118*x^5 -75*x^4 -43*x^3 -32*x^2 -11*x -10) / (x^20 -2252*x^10 +1). - Colin Barker, Nov 05 2013
MATHEMATICA
Numerator[Convergents[Sqrt[115], 30]] (* Vincenzo Librandi, Oct 31 2013 *)
CROSSREFS
Cf. A041209.
Sequence in context: A098795 A108580 A356279 * A041485 A041206 A339078
KEYWORD
nonn,cofr,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 05 2013
STATUS
approved

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Last modified March 29 05:16 EDT 2024. Contains 371264 sequences. (Running on oeis4.)