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A041941
Denominators of continued fraction convergents to sqrt(493).
2
1, 4, 5, 54, 167, 555, 5717, 6272, 30805, 1361692, 5477573, 6839265, 73870223, 228449934, 759220025, 7820650184, 8579870209, 42140131020, 1862745635089, 7493122671376, 9355868306465, 101051805736026, 312511285514543, 1038585662279655, 10698367908311093
OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,1367964,0,0,0,0,0,0,0,0,1).
FORMULA
G.f.: -(x^16 -4*x^15 +5*x^14 -54*x^13 +167*x^12 -555*x^11 +5717*x^10 -6272*x^9 +30805*x^8 +6272*x^7 +5717*x^6 +555*x^5 +167*x^4 +54*x^3 +5*x^2 +4*x +1) / ((x^6 +111*x^3 -1)*(x^12 -111*x^9 +12322*x^6 +111*x^3 +1)). - Colin Barker, Nov 27 2013
MATHEMATICA
Denominator[Convergents[Sqrt[493], 30]] (* Harvey P. Dale, Mar 25 2013 *)
CoefficientList[Series[-(x^16 - 4 x^15 + 5 x^14 - 54 x^13 + 167 x^12 - 555 x^11 + 5717 x^10 - 6272 x^9 + 30805 x^8 + 6272 x^7 + 5717 x^6 + 555 x^5 + 167 x^4 + 54 x^3 + 5 x^2 + 4 x + 1)/((x^6 + 111 x^3 - 1) (x^12 - 111 x^9 + 12322 x^6 + 111 x^3 + 1)), {x, 0, 40}], x] (* Vincenzo Librandi, Dec 27 2013 *)
CROSSREFS
Sequence in context: A135799 A226648 A335797 * A220534 A368018 A341575
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 27 2013
STATUS
approved