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A041258
Numerators of continued fraction convergents to sqrt(141).
2
11, 12, 83, 95, 2173, 2268, 15781, 18049, 412859, 430908, 2998307, 3429215, 78441037, 81870252, 569662549, 651532801, 14903384171, 15554916972, 108232886003, 123787802975, 2831564551453, 2955352354428
OFFSET
0,1
FORMULA
G.f.: (11 +12*x +83*x^2 +95x^3 +83x^4 -12x^5 +11x^6 -x^7) / (1 -190*x^4 +x^8). - Vincenzo Librandi, Nov 01 2013
a(n) = 190*a(n-4)-a(n-8). - Vincenzo Librandi, Nov 01 2013
MATHEMATICA
Numerator[Convergents[Sqrt[141], 30]] (* or *) CoefficientList[Series[(11 + 12 x + 83 x^2 + 95 x^3 + 83 x^4 - 12 x^5 + 11 x^6 - x^7)/(1 - 190 x^4 + x^8), {x, 0, 25}], x] (* Vincenzo Librandi, Oct 31 2013 *)
PROG
(Magma) I:=[11, 12, 83, 95, 2173, 2268, 15781, 18049]; [n le 8 select I[n] else 190*Self(n-4)-Self(n-8): n in [1..25]]; // Vincenzo Librandi, Nov 01 2013
CROSSREFS
Cf. A041259.
Sequence in context: A041254 A041256 A059181 * A082262 A239463 A153070
KEYWORD
nonn,cofr,frac,easy
AUTHOR
STATUS
approved