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A041673
Denominators of continued fraction convergents to sqrt(355).
2
1, 1, 6, 19, 63, 82, 555, 637, 2466, 8035, 42641, 50676, 1866977, 1917653, 11455242, 36283379, 120305379, 156588758, 1059837927, 1216426685, 4709117982, 15343780631, 81428021137, 96771801768, 3565212884785, 3661984686553, 21875136317550, 69287393639203
OFFSET
0,3
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1909618, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
FORMULA
G.f.: -(x^22 -x^21 +6*x^20 -19*x^19 +63*x^18 -82*x^17 +555*x^16 -637*x^15 +2466*x^14 -8035*x^13 +42641*x^12 -50676*x^11 -42641*x^10 -8035*x^9 -2466*x^8 -637*x^7 -555*x^6 -82*x^5 -63*x^4 -19*x^3 -6*x^2 -x -1)/(x^24 -1909618*x^12 +1). - Vincenzo Librandi, Dec 22 2013
a(n) = 1909618*a(n-12) - a(n-24) for n>23. - Vincenzo Librandi, Dec 22 2013
MATHEMATICA
Denominator/@Convergents[Sqrt[355], 40] (* Harvey P. Dale, May 11 2011 *)
CoefficientList[Series[-(x^22 - x^21 + 6 x^20 - 19 x^19 + 63 x^18 - 82 x^17 + 555 x^16 - 637 x^15 + 2466 x^14 - 8035 x^13 + 42641 x^12 - 50676 x^11 - 42641 x^10 - 8035 x^9 - 2466 x^8 - 637 x^7 - 555 x^6 - 82 x^5 - 63 x^4 - 19 x^3 - 6 x^2 - x - 1)/(x^24 - 1909618 x^12 + 1), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 22 2013 *)
CROSSREFS
Cf. A041672.
Sequence in context: A080926 A184189 A152098 * A137195 A055916 A266472
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Harvey P. Dale, May 11 2011.
STATUS
approved