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A041381
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Denominators of continued fraction convergents to sqrt(205).
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2
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1, 3, 19, 22, 107, 129, 881, 2772, 78497, 238263, 1508075, 1746338, 8493427, 10239765, 69932017, 220035816, 6230934865, 18912840411, 119707977331, 138620817742, 674191248299, 812812066041, 5551063644545, 17466002999676, 494599147635473, 1501263445906095
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OFFSET
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0,2
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,79378,0,0,0,0,0,0,0,-1).
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FORMULA
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G.f.: -(x^14 -3*x^13 +19*x^12 -22*x^11 +107*x^10 -129*x^9 +881*x^8 -2772*x^7 -881*x^6 -129*x^5 -107*x^4 -22*x^3 -19*x^2 -3*x -1) / (x^16 -79378*x^8 +1). - Colin Barker, Nov 16 2013
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MATHEMATICA
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LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 79378, 0, 0, 0, 0, 0, 0, 0, -1}, {1, 3, 19, 22, 107, 129, 881, 2772, 78497, 238263, 1508075, 1746338, 8493427, 10239765, 69932017, 220035816}, 30] (* Harvey P. Dale, Apr 17 2022 *)
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PROG
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(Magma) I:=[1, 3, 19, 22, 107, 129, 881, 2772, 78497, 238263, 1508075, 1746338, 8493427, 10239765, 69932017, 220035816]; [n le 16 select I[n] else 79378*Self(n-8)-Self(n-16): n in [1..40]]; // Vincenzo Librandi, Dec 16 2013
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CROSSREFS
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KEYWORD
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nonn,frac,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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