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A041861
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Denominators of continued fraction convergents to sqrt(452).
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2
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1, 3, 4, 23, 73, 753, 2332, 12413, 14745, 56648, 2393961, 7238531, 9632492, 55400991, 175835465, 1813755641, 5617102388, 29899267581, 35516369969, 136448377488, 5766348224465, 17435493050883, 23201841275348, 133444699427623, 423535939558217, 4368804095009793
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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 (0,0,0,0,0,0,0,0,0,2408706,0,0,0,0,0,0,0,0,0,-1).
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FORMULA
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G.f.: -(x^18 -3*x^17 +4*x^16 -23*x^15 +73*x^14 -753*x^13 +2332*x^12 -12413*x^11 +14745*x^10 -56648*x^9 -14745*x^8 -12413*x^7 -2332*x^6 -753*x^5 -73*x^4 -23*x^3 -4*x^2 -3*x -1) / ((x^10 -1552*x^5 -1)*(x^10 +1552*x^5 -1)). - Colin Barker, Nov 26 2013
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MATHEMATICA
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PROG
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(Magma) I:=[1, 3, 4, 23, 73, 753, 2332, 12413, 14745, 56648, 2393961, 7238531, 9632492, 55400991, 175835465, 1813755641, 5617102388, 29899267581, 35516369969, 136448377488]; [n le 20 select I[n] else 2408706*Self(n-10)-Self(n-20): n in [1..40]]; // Vincenzo Librandi, Dec 26 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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