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A041907
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Denominators of continued fraction convergents to sqrt(475).
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2
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1, 1, 4, 5, 34, 73, 472, 545, 2107, 2652, 113491, 116143, 461920, 578063, 3930298, 8438659, 54562252, 63000911, 243564985, 306565896, 13119332617, 13425898513, 53397028156, 66822926669, 454334588170, 975492103009, 6307287206224, 7282779309233
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OFFSET
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0,3
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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, 115598, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
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FORMULA
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G.f.: -(x^18 -x^17 +4*x^16 -5*x^15 +34*x^14 -73*x^13 +472*x^12 -545*x^11 +2107*x^10 -2652*x^9 -2107*x^8 -545*x^7 -472*x^6 -73*x^5 -34*x^4 -5*x^3 -4*x^2 -x -1) / ((x^10 -340*x^5 +1)*(x^10 +340*x^5 +1)). - Colin Barker, Nov 27 2013
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MATHEMATICA
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LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 0, 115598, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1}, {1, 1, 4, 5, 34, 73, 472, 545, 2107, 2652, 113491, 116143, 461920, 578063, 3930298, 8438659, 54562252, 63000911, 243564985, 306565896}, 30] (* Harvey P. Dale, Jul 08 2020 *)
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PROG
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(Magma) I:=[1, 1, 4, 5, 34, 73, 472, 545, 2107, 2652, 113491, 116143, 461920, 578063, 3930298, 8438659, 54562252, 63000911, 243564985, 306565896]; [n le 20 select I[n] else 115598*Self(n-10)-Self(n-20): n in [1..50]]; // Vincenzo Librandi, Dec 27 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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