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A042607
Denominators of continued fraction convergents to sqrt(832).
2
1, 1, 6, 13, 32, 45, 617, 662, 1941, 4544, 24661, 29205, 1660141, 1689346, 10106871, 21903088, 53913047, 75816135, 1039522802, 1115338937, 3270200676, 7655740289, 41548902121, 49204642410, 2797008877081, 2846213519491, 17028076474536, 36902366468563
OFFSET
0,3
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1684802, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
FORMULA
G.f.: -(x^22 -x^21 +6*x^20 -13*x^19 +32*x^18 -45*x^17 +617*x^16 -662*x^15 +1941*x^14 -4544*x^13 +24661*x^12 -29205*x^11 -24661*x^10 -4544*x^9 -1941*x^8 -662*x^7 -617*x^6 -45*x^5 -32*x^4 -13*x^3 -6*x^2 -x -1) / ((x^2 -3*x -1)*(x^2 +3*x -1)*(x^4 -3*x^3 +10*x^2 +3*x +1)*(x^4 +11*x^2 +1)*(x^4 +3*x^3 +10*x^2 -3*x +1)*(x^8 -11*x^6 +120*x^4 -11*x^2 +1)). - Colin Barker, Dec 19 2013
MATHEMATICA
Denominator[Convergents[Sqrt[832], 30]] (* Vincenzo Librandi, Jan 25 2014 *)
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1684802, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1}, {1, 1, 6, 13, 32, 45, 617, 662, 1941, 4544, 24661, 29205, 1660141, 1689346, 10106871, 21903088, 53913047, 75816135, 1039522802, 1115338937, 3270200676, 7655740289, 41548902121, 49204642410}, 30] (* Harvey P. Dale, Aug 06 2023 *)
CROSSREFS
Sequence in context: A192304 A343544 A147330 * A048693 A041068 A300430
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Dec 19 2013
STATUS
approved