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A042376 Numerators of continued fraction convergents to sqrt(715). 2
26, 27, 80, 107, 615, 3182, 16525, 19707, 55939, 75646, 3989531, 4065177, 12119885, 16185062, 93045195, 481411037, 2500100380, 2981511417, 8463123214, 11444634631, 603584124026, 615028758657, 1833641641340, 2448670399997, 14076993641325, 72833638606622 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,151292,0,0,0,0,0,0,0,0,0,-1).
FORMULA
G.f.: -(x^19 -26*x^18 +27*x^17 -80*x^16 +107*x^15 -615*x^14 +3182*x^13 -16525*x^12 +19707*x^11 -55939*x^10 -75646*x^9 -55939*x^8 -19707*x^7 -16525*x^6 -3182*x^5 -615*x^4 -107*x^3 -80*x^2 -27*x -26) / (x^20 -151292*x^10 +1). - Colin Barker, Dec 10 2013
a(n) = 151292*a(n-10) - a(n-20). - Wesley Ivan Hurt, Sep 07 2022
MATHEMATICA
Numerator[Convergents[Sqrt[715], 30]] (* Vincenzo Librandi, Nov 22 2013 *)
CROSSREFS
Sequence in context: A304007 A305357 A042374 * A042372 A042370 A042382
KEYWORD
nonn,cofr,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Dec 10 2013
STATUS
approved

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Last modified March 29 10:22 EDT 2024. Contains 371268 sequences. (Running on oeis4.)