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A041211
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Denominators of continued fraction convergents to sqrt(116).
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2
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1, 1, 4, 9, 13, 61, 74, 209, 701, 910, 18901, 19811, 78334, 176479, 254813, 1195731, 1450544, 4096819, 13741001, 17837820, 370497401, 388335221, 1535503064, 3459341349, 4994844413, 23438719001, 28433563414, 80305845829, 269351100901, 349656946730
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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 (0,0,0,0,0,0,0,0,0,19602,0,0,0,0,0,0,0,0,0,-1).
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FORMULA
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G.f.: -(x^18 -x^17 +4*x^16 -9*x^15 +13*x^14 -61*x^13 +74*x^12 -209*x^11 +701*x^10 -910*x^9 -701*x^8 -209*x^7 -74*x^6 -61*x^5 -13*x^4 -9*x^3 -4*x^2 -x -1) / ((x^10 -140*x^5 -1)*(x^10 +140*x^5 -1)). - Colin Barker, Nov 14 2013
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MATHEMATICA
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PROG
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(Magma) I:=[1, 1, 4, 9, 13, 61, 74, 209, 701, 910, 18901, 19811, 78334, 176479, 254813, 1195731, 1450544, 4096819, 13741001, 17837820]; [n le 20 select I[n] else 19602*Self(n-10)-Self(n-20): n in [1..40]]; // Vincenzo Librandi, Dec 13 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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