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A041506
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Numerators of continued fraction convergents to sqrt(270).
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2
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16, 33, 115, 723, 2284, 5291, 171596, 348483, 1217045, 7650753, 24169304, 55989361, 1815828856, 3687647073, 12878770075, 80960267523, 255759572644, 592479412811, 19215100782596, 39022680978003, 136283143716605, 856721543277633, 2706447773549504
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OFFSET
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0,1
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,10582,0,0,0,0,0,-1).
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FORMULA
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G.f.: -(x^11 -16*x^10 +33*x^9 -115*x^8 +723*x^7 -2284*x^6 -5291*x^5 -2284*x^4 -723*x^3 -115*x^2 -33*x -16) / ((x^4 -22*x^2 +1)*(x^8 +22*x^6 +483*x^4 +22*x^2 +1)). - Colin Barker, Nov 10 2013
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MATHEMATICA
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LinearRecurrence[{0, 0, 0, 0, 0, 10582, 0, 0, 0, 0, 0, -1}, {16, 33, 115, 723, 2284, 5291, 171596, 348483, 1217045, 7650753, 24169304, 55989361}, 30] (* Harvey P. Dale, Dec 25 2019 *)
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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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