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A042374 Numerators of continued fraction convergents to sqrt(714). 2
26, 27, 80, 107, 187, 481, 668, 1149, 2966, 4115, 216946, 221061, 659068, 880129, 1539197, 3958523, 5497720, 9456243, 24410206, 33866449, 1785465554, 1819332003, 5424129560, 7243461563, 12667591123, 32578643809, 45246234932, 77824878741, 200895992414 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,8230,0,0,0,0,0,0,0,0,0,-1).
FORMULA
G.f.: -(x^19 -26*x^18 +27*x^17 -80*x^16 +107*x^15 -187*x^14 +481*x^13 -668*x^12 +1149*x^11 -2966*x^10 -4115*x^9 -2966*x^8 -1149*x^7 -668*x^6 -481*x^5 -187*x^4 -107*x^3 -80*x^2 -27*x -26) / (x^20 -8230*x^10 +1). - Colin Barker, Dec 09 2013
a(n) = 8230*a(n-10) - a(n-20). - Wesley Ivan Hurt, Sep 07 2022
MATHEMATICA
Numerator[Convergents[Sqrt[714], 30]] (* Vincenzo Librandi, Nov 22 2013 *)
CROSSREFS
Sequence in context: A042352 A304007 A305357 * A042376 A042372 A042370
KEYWORD
nonn,cofr,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Dec 09 2013
STATUS
approved

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Last modified March 28 11:59 EDT 2024. Contains 371254 sequences. (Running on oeis4.)