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A041078
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Numerators of continued fraction convergents to sqrt(46).
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3
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6, 7, 27, 34, 61, 156, 997, 2150, 3147, 5297, 19038, 24335, 311058, 335393, 1317237, 1652630, 2969867, 7592364, 48524051, 104640466, 153164517, 257804983, 926579466, 1184384449, 15139192854, 16323577303
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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 (0,0,0,0,0,0,0,0,0,0,0,48670,0,0,0,0,0,0,0,0,0,0,0,-1).
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FORMULA
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a(n) = 48670*a(n-12)-a(n-24). G.f.: -(x^23 -6*x^22 +7*x^21 -27*x^20 +34*x^19 -61*x^18 +156*x^17 -997*x^16 +2150*x^15 -3147*x^14 +5297*x^13 -19038*x^12 -24335*x^11 -19038*x^10 -5297*x^9 -3147*x^8 -2150*x^7 -997*x^6 -156*x^5 -61*x^4 -34*x^3 -27*x^2 -7*x-6) / (x^24-48670*x^12+1). - Colin Barker, Jul 19 2012
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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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