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A041550
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Numerators of continued fraction convergents to sqrt(293).
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10
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17, 137, 154, 291, 2482, 84679, 679914, 764593, 1444507, 12320649, 420346573, 3375093233, 3795439806, 7170533039, 61159704118, 2086600473051, 16753963488526, 18840563961577, 35594527450103, 303596783562401, 10357885168571737, 83166678132136297
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OFFSET
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0,1
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COMMENTS
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The a(n) terms of this sequence can be constructed with the terms of sequence A090306.
For the terms of the periodical sequence of the continued fraction for sqrt(293) see A040275. We observe that its period is five. (End)
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 4964, 0, 0, 0, 0, 1).
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FORMULA
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G.f.: -(x^9-17*x^8+137*x^7-154*x^6+291*x^5+2482*x^4+291*x^3+154*x^2+137*x+17) / (x^10+4964*x^5-1). - Colin Barker, Nov 08 2013
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MATHEMATICA
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CROSSREFS
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KEYWORD
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nonn,cofr,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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