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A041261
Denominators of continued fraction convergents to sqrt(142).
2
1, 1, 11, 12, 275, 287, 3145, 3432, 78649, 82081, 899459, 981540, 22493339, 23474879, 257242129, 280717008, 6433016305, 6713733313, 73570349435, 80284082748, 1839820169891, 1920104252639, 21040862696281, 22960966948920, 526182135572521, 549143102521441
OFFSET
0,3
FORMULA
G.f.: (1 +x +11*x^2 +12*x^3 -11*x^4 +x^5 -x^6)/(1 -286*x^4 +x^8). - Vincenzo Librandi, Dec 14 2013
a(n) = 286*a(n-4) - a(n-8). - Vincenzo Librandi, Dec 14 2013
MATHEMATICA
Denominator[Convergents[Sqrt[142], 30]] (* or *) CoefficientList[Series[(1 + x + 11 x^2 + 12 x^3 - 11 x^4 + x^5 - x^6)/(1 - 286 x^4 + x^8), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 14 2013 *)
PROG
(Magma) I:=[1, 1, 11, 12, 275, 287, 3145, 3432]; [n le 8 select I[n] else 286*Self(n-4)-Self(n-8): n in [1..40]]; // Vincenzo Librandi, Dec 14 2013
CROSSREFS
Cf. A041260.
Sequence in context: A041059 A041260 A109665 * A041262 A262515 A041607
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Vincenzo Librandi, Dec 14 2013
STATUS
approved